399930284950560 has 1728 divisors, whose sum is σ = 1765003656439296. Its totient is φ = 80591486976000.

The previous prime is 399930284950487. The next prime is 399930284950577. The reversal of 399930284950560 is 65059482039993.

399930284950560 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 3 + 0 + 2 + 8 + 4 + 9 + 50 + 560 = 666.

It is a super-2 number, since 2×399930284950560² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27465845680 + ... + 27465860240.

It is an arithmetic number, because the mean of its divisors is an integer number (1021414153032).

Almost surely, 2^{399930284950560} is an apocalyptic number.

399930284950560 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 399930284950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882501828219648).

399930284950560 is an abundant number, since it is smaller than the sum of its proper divisors (1365073371488736).

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

399930284950560 is a wasteful number, since it uses less digits than its factorization.

399930284950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 72.

The spelling of 399930284950560 in words is "three hundred ninety-nine trillion, nine hundred thirty billion, two hundred eighty-four million, nine hundred fifty thousand, five hundred sixty".