40134312960 has 176 divisors, whose sum is σ = 146705640576. Its totient is φ = 9173532672.

The previous prime is 40134312947. The next prime is 40134313049. The reversal of 40134312960 is 6921343104.

It is a super-2 number, since 2×40134312960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79117 + ... + 294156.

It is an arithmetic number, because the mean of its divisors is an integer number (833554776).

Almost surely, 2^40134312960 is an apocalyptic number.

40134312960 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 40134312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352820288).

40134312960 is an abundant number, since it is smaller than the sum of its proper divisors (106571327616).

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

40134312960 is a wasteful number, since it uses less digits than its factorization.

40134312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373308 (or 373290 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 40134312960 in words is "forty billion, one hundred thirty-four million, three hundred twelve thousand, nine hundred sixty".