40372096128 has 256 divisors, whose sum is σ = 139751619840. Its totient is φ = 10021109760.

The previous prime is 40372096117. The next prime is 40372096129. The reversal of 40372096128 is 82169027304.

It is a super-2 number, since 2×40372096128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40372096128.

It is not an unprimeable number, because it can be changed into a prime (40372096129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560068 + ... + 628028.

It is an arithmetic number, because the mean of its divisors is an integer number (545904765).

Almost surely, 2^40372096128 is an apocalyptic number.

40372096128 is a gapful number since it is divisible by the number (48) 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 40372096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69875809920).

40372096128 is an abundant number, since it is smaller than the sum of its proper divisors (99379523712).

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

40372096128 is a wasteful number, since it uses less digits than its factorization.

40372096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68015 (or 68003 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40372096128 in words is "forty billion, three hundred seventy-two million, ninety-six thousand, one hundred twenty-eight".