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404125481412 = 2232293161277739
BaseRepresentation
bin1011110000101111100…
…00010111100111000100
31102122010012101112120200
411320113300113213010
523110122110401122
6505352551330500
741124414625422
oct5702760274704
91378105345520
10404125481412
11146430331674
12663a4980a30
132c1552558c3
14157ba05c112
15a7a3ba85ac
hex5e17c179c4

404125481412 has 288 divisors, whose sum is σ = 1114245350400. Its totient is φ = 123190502400.

The previous prime is 404125481411. The next prime is 404125481449. The reversal of 404125481412 is 214184521404.

404125481412 is a `hidden beast` number, since 40 + 4 + 125 + 4 + 81 + 412 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (404125481411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546854139 + ... + 546854877.

Almost surely, 2404125481412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404125481412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557122675200).

404125481412 is an abundant number, since it is smaller than the sum of its proper divisors (710119868988).

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

404125481412 is a wasteful number, since it uses less digits than its factorization.

404125481412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 404125481412 in words is "four hundred four billion, one hundred twenty-five million, four hundred eighty-one thousand, four hundred twelve".