3959613544480 has 144 divisors (see below), whose sum is σ = 10284593806872. Its totient is φ = 1439540326400.

The previous prime is 3959613544457. The next prime is 3959613544519. The reversal of 3959613544480 is 844453169593.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3164712913296 + 794900631184 = 1778964^2 + 891572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98348034 + ... + 98388286.

Almost surely, 2^{3959613544480} 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 3959613544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142296903436).

3959613544480 is an abundant number, since it is smaller than the sum of its proper divisors (6324980262392).

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

3959613544480 is a wasteful number, since it uses less digits than its factorization.

3959613544480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45371 (or 45352 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 61.

The spelling of 3959613544480 in words is "three trillion, nine hundred fifty-nine billion, six hundred thirteen million, five hundred forty-four thousand, four hundred eighty".