399828540585600 has 3456 divisors, whose sum is σ = 1820248973038080. Its totient is φ = 82948600627200.

The previous prime is 399828540585577. The next prime is 399828540585601. The reversal of 399828540585600 is 6585045828993.

399828540585600 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 2 + 8 + 5 + 4 + 0 + 5 + 8 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (399828540585601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 262526946439 + ... + 262526947961.

It is an arithmetic number, because the mean of its divisors is an integer number (526692411180).

Almost surely, 2^{399828540585600} is an apocalyptic number.

399828540585600 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 399828540585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910124486519040).

399828540585600 is an abundant number, since it is smaller than the sum of its proper divisors (1420420432452480).

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

399828540585600 is a wasteful number, since it uses less digits than its factorization.

399828540585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 399828540585600 in words is "three hundred ninety-nine trillion, eight hundred twenty-eight billion, five hundred forty million, five hundred eighty-five thousand, six hundred".