39988201344 has 768 divisors, whose sum is σ = 142996492800. Its totient is φ = 9661317120.

The previous prime is 39988201339. The next prime is 39988201361. The reversal of 39988201344 is 44310288993.

39988201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 353877832 + ... + 353877944.

It is an arithmetic number, because the mean of its divisors is an integer number (186193350).

Almost surely, 2^39988201344 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 39988201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71498246400).

39988201344 is an abundant number, since it is smaller than the sum of its proper divisors (103008291456).

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

39988201344 is a wasteful number, since it uses less digits than its factorization.

39988201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 39988201344 in words is "thirty-nine billion, nine hundred eighty-eight million, two hundred one thousand, three hundred forty-four".