40407437712 has 160 divisors (see below), whose sum is σ = 111777627520. Its totient is φ = 12541132800.

The previous prime is 40407437689. The next prime is 40407437729. The reversal of 40407437712 is 21773470404.

It is a super-2 number, since 2×40407437712² (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 31 ways as a sum of consecutive naturals, for example, 22435212 + ... + 22437012.

It is an arithmetic number, because the mean of its divisors is an integer number (698610172).

Almost surely, 2^40407437712 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 40407437712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55888813760).

40407437712 is an abundant number, since it is smaller than the sum of its proper divisors (71370189808).

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

40407437712 is a wasteful number, since it uses less digits than its factorization.

40407437712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 40407437712 in words is "forty billion, four hundred seven million, four hundred thirty-seven thousand, seven hundred twelve".