39407014144 has 81 divisors (see below), whose sum is σ = 83145322533. Its totient is φ = 18637894656.

The previous prime is 39407014133. The next prime is 39407014159. The reversal of 39407014144 is 44141070493.

The square root of 39407014144 is 198512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9169977600 + 30237036544 = 95760^2 + 173888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60347322 + ... + 60347974.

Almost surely, 2^39407014144 is an apocalyptic number.

39407014144 is the 198512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39407014144

39407014144 is an abundant number, since it is smaller than the sum of its proper divisors (43738308389).

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

39407014144 is an frugal number, since it uses more digits than its factorization.

39407014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 39407014144 in words is "thirty-nine billion, four hundred seven million, fourteen thousand, one hundred forty-four".