40152108672 has 512 divisors, whose sum is σ = 133359206400. Its totient is φ = 11809566720.

The previous prime is 40152108613. The next prime is 40152108673. The reversal of 40152108672 is 27680125104.

It is a super-2 number, since 2×40152108672² (a number of 22 digits) contains 22 as substring.

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 (40152108673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176881423 + ... + 176881649.

It is an arithmetic number, because the mean of its divisors is an integer number (260467200).

Almost surely, 2^40152108672 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 40152108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679603200).

40152108672 is an abundant number, since it is smaller than the sum of its proper divisors (93207097728).

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

40152108672 is a wasteful number, since it uses less digits than its factorization.

40152108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 40152108672 in words is "forty billion, one hundred fifty-two million, one hundred eight thousand, six hundred seventy-two".