399905145360 has 800 divisors, whose sum is σ = 1699897985280. Its totient is φ = 85048786944.

The previous prime is 399905145347. The next prime is 399905145391. The reversal of 399905145360 is 63541509993.

399905145360 is a `hidden beast` number, since 3 + 9 + 9 + 90 + 5 + 14 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 399905145297 and 399905145306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68626767 + ... + 68632593.

Almost surely, 2^399905145360 is an apocalyptic number.

399905145360 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 399905145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849948992640).

399905145360 is an abundant number, since it is smaller than the sum of its proper divisors (1299992839920).

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

399905145360 is a wasteful number, since it uses less digits than its factorization.

399905145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 399905145360 in words is "three hundred ninety-nine billion, nine hundred five million, one hundred forty-five thousand, three hundred sixty".