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404125592040 = 23355139299113
BaseRepresentation
bin1011110000101111100…
…00110010100111101000
31102122010012121011100000
411320113300302213220
523110122122421130
6505352553543000
741124415566102
oct5702760624750
91378105534300
10404125592040
111464303a77a5
12663a4a14a60
132c155294071
14157ba08a572
15a7a3bcb260
hex5e17c329e8

404125592040 has 192 divisors, whose sum is σ = 1371856449600. Its totient is φ = 106991165952.

The previous prime is 404125592023. The next prime is 404125592041. The reversal of 404125592040 is 40295521404.

It is a happy number.

404125592040 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 25 + 592 + 0 + 40 = 666.

404125592040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4041255920402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404125591986 and 404125592004.

It is not an unprimeable number, because it can be changed into a prime (404125592041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1201524 + ... + 1500636.

It is an arithmetic number, because the mean of its divisors is an integer number (7145085675).

Almost surely, 2404125592040 is an apocalyptic number.

404125592040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404125592040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685928224800).

404125592040 is an abundant number, since it is smaller than the sum of its proper divisors (967730857560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404125592040 is a wasteful number, since it uses less digits than its factorization.

404125592040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299278 (or 299262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 404125592040 in words is "four hundred four billion, one hundred twenty-five million, five hundred ninety-two thousand, forty".