3959817398400 has 384 divisors, whose sum is σ = 13828971585600. Its totient is φ = 992461455360.

The previous prime is 3959817398387. The next prime is 3959817398473. The reversal of 3959817398400 is 48937189593.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120588384 + ... + 120621216.

Almost surely, 2^{3959817398400} is an apocalyptic number.

3959817398400 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 3959817398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914485792800).

3959817398400 is an abundant number, since it is smaller than the sum of its proper divisors (9869154187200).

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

3959817398400 is a wasteful number, since it uses less digits than its factorization.

3959817398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33616 (or 33599 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 3959817398400 in words is "three trillion, nine hundred fifty-nine billion, eight hundred seventeen million, three hundred ninety-eight thousand, four hundred".