40012439040 has 960 divisors, whose sum is σ = 167666982912. Its totient is φ = 8626176000.

The previous prime is 40012439029. The next prime is 40012439059. The reversal of 40012439040 is 4093421004.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×40012439040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40012438995 and 40012439013.

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, 264982965 + ... + 264983115.

Almost surely, 2^40012439040 is an apocalyptic number.

40012439040 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 40012439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83833491456).

40012439040 is an abundant number, since it is smaller than the sum of its proper divisors (127654543872).

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

40012439040 is a wasteful number, since it uses less digits than its factorization.

40012439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40012439040 in words is "forty billion, twelve million, four hundred thirty-nine thousand, forty".