39402314128 has 80 divisors (see below), whose sum is σ = 81878353200. Its totient is φ = 18303418368.

The previous prime is 39402314113. The next prime is 39402314137. The reversal of 39402314128 is 82141320493.

It can be written as a sum of positive squares in 8 ways, for example, as 7651350784 + 31750963344 = 87472^2 + 178188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11422548 + ... + 11425996.

It is an arithmetic number, because the mean of its divisors is an integer number (1023479415).

Almost surely, 2^39402314128 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 39402314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40939176600).

39402314128 is an abundant number, since it is smaller than the sum of its proper divisors (42476039072).

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

39402314128 is a wasteful number, since it uses less digits than its factorization.

39402314128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 39402314128 in words is "thirty-nine billion, four hundred two million, three hundred fourteen thousand, one hundred twenty-eight".