399777348096 has 560 divisors, whose sum is σ = 1395008106624. Its totient is φ = 112028147712.

The previous prime is 399777348029. The next prime is 399777348167. The reversal of 399777348096 is 690843777993.

399777348096 is a `hidden beast` number, since 3 + 9 + 9 + 77 + 73 + 480 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 138473565 + ... + 138476451.

Almost surely, 2^399777348096 is an apocalyptic number.

399777348096 is a gapful number since it is divisible by the number (36) 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 399777348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697504053312).

399777348096 is an abundant number, since it is smaller than the sum of its proper divisors (995230758528).

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

399777348096 is an frugal number, since it uses more digits than its factorization.

399777348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 399777348096 in words is "three hundred ninety-nine billion, seven hundred seventy-seven million, three hundred forty-eight thousand, ninety-six".