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40504749480 = 2332513193891171
BaseRepresentation
bin100101101110010001…
…010110110110101000
310212112211211110121200
4211232101112312220
51130423203440410
630335125204200
72632513455426
oct455621266650
9125484743550
1040504749480
11161a5969878
127a24b60660
133a8680b3b0
141d6363c116
1510c0e8c3c0
hex96e456da8

40504749480 has 384 divisors, whose sum is σ = 149739408000. Its totient is φ = 9413314560.

The previous prime is 40504749427. The next prime is 40504749503. The reversal of 40504749480 is 8494740504.

40504749480 is a `hidden beast` number, since 40 + 5 + 0 + 47 + 494 + 80 = 666.

40504749480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34589295 + ... + 34590465.

It is an arithmetic number, because the mean of its divisors is an integer number (389946375).

Almost surely, 240504749480 is an apocalyptic number.

40504749480 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 40504749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74869704000).

40504749480 is an abundant number, since it is smaller than the sum of its proper divisors (109234658520).

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

40504749480 is a wasteful number, since it uses less digits than its factorization.

40504749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40504749480 in words is "forty billion, five hundred four million, seven hundred forty-nine thousand, four hundred eighty".