399110197753344 has 640 divisors, whose sum is σ = 1348113139236864. Its totient is φ = 101907615744000.

The previous prime is 399110197753327. The next prime is 399110197753349. The reversal of 399110197753344 is 443357791011993.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399110197753349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13498486849 + ... + 13498516415.

Almost surely, 2^{399110197753344} 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 399110197753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674056569618432).

399110197753344 is an abundant number, since it is smaller than the sum of its proper divisors (949002941483520).

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

399110197753344 is a wasteful number, since it uses less digits than its factorization.

399110197753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31538 (or 31522 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 399110197753344 in words is "three hundred ninety-nine trillion, one hundred ten billion, one hundred ninety-seven million, seven hundred fifty-three thousand, three hundred forty-four".