399734424381600 has 3456 divisors, whose sum is σ = 1870188012306432. Its totient is φ = 80903967436800.

The previous prime is 399734424381559. The next prime is 399734424381631. The reversal of 399734424381600 is 6183424437993.

It is a happy number.

399734424381600 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 34 + 4 + 2 + 438 + 160 + 0 = 666.

It is a super-2 number, since 2×399734424381600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159702125949 + ... + 159702128451.

It is an arithmetic number, because the mean of its divisors is an integer number (541142364672).

Almost surely, 2^{399734424381600} is an apocalyptic number.

399734424381600 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 399734424381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935094006153216).

399734424381600 is an abundant number, since it is smaller than the sum of its proper divisors (1470453587924832).

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

399734424381600 is a wasteful number, since it uses less digits than its factorization.

399734424381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 399734424381600 in words is "three hundred ninety-nine trillion, seven hundred thirty-four billion, four hundred twenty-four million, three hundred eighty-one thousand, six hundred".