39132707040 has 960 divisors, whose sum is σ = 168959831040. Its totient is φ = 8330895360.

The previous prime is 39132707017. The next prime is 39132707057. The reversal of 39132707040 is 4070723193.

39132707040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39132706986 and 39132707004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125828485 + ... + 125828795.

It is an arithmetic number, because the mean of its divisors is an integer number (175999824).

Almost surely, 2^39132707040 is an apocalyptic number.

39132707040 is a gapful number since it is divisible by the number (30) 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 39132707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84479915520).

39132707040 is an abundant number, since it is smaller than the sum of its proper divisors (129827124000).

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

39132707040 is a wasteful number, since it uses less digits than its factorization.

39132707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 39132707040 in words is "thirty-nine billion, one hundred thirty-two million, seven hundred seven thousand, forty".