40042312128 has 672 divisors, whose sum is σ = 153610096640. Its totient is φ = 9674588160.

The previous prime is 40042312111. The next prime is 40042312153. The reversal of 40042312128 is 82121324004.

40042312128 is a `hidden beast` number, since 400 + 4 + 231 + 2 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 30872376 + ... + 30873672.

Almost surely, 2^40042312128 is an apocalyptic number.

40042312128 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 40042312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76805048320).

40042312128 is an abundant number, since it is smaller than the sum of its proper divisors (113567784512).

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

40042312128 is a wasteful number, since it uses less digits than its factorization.

40042312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

It can be divided in two parts, 4004 and 2312128, that added together give a palindrome (2316132).

The spelling of 40042312128 in words is "forty billion, forty-two million, three hundred twelve thousand, one hundred twenty-eight".