39345428130624 has 1120 divisors, whose sum is σ = 156967045171200. Its totient is φ = 9438119792640.

The previous prime is 39345428130611. The next prime is 39345428130641. The reversal of 39345428130624 is 42603182454393.

39345428130624 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 5 + 4 + 2 + 8 + 1 + 3 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 266171167 + ... + 266318945.

Almost surely, 2^{39345428130624} 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 39345428130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78483522585600).

39345428130624 is an abundant number, since it is smaller than the sum of its proper divisors (117621617040576).

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

39345428130624 is a wasteful number, since it uses less digits than its factorization.

39345428130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147873 (or 147854 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 39345428130624 in words is "thirty-nine trillion, three hundred forty-five billion, four hundred twenty-eight million, one hundred thirty thousand, six hundred twenty-four".