395874462412800 has 4992 divisors, whose sum is σ = 1782247528857600. Its totient is φ = 84244561920000.

The previous prime is 395874462412799. The next prime is 395874462412837. The reversal of 395874462412800 is 8214264478593.

395874462412800 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 74 + 46 + 241 + 280 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2848017715131 + ... + 2848017715269.

It is a 1-persistent number, because it is pandigital, but 2⋅395874462412800 = 791748924825600 is not.

Almost surely, 2^{395874462412800} is an apocalyptic number.

395874462412800 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 395874462412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891123764428800).

395874462412800 is an abundant number, since it is smaller than the sum of its proper divisors (1386373066444800).

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

395874462412800 is a wasteful number, since it uses less digits than its factorization.

395874462412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 395874462412800 in words is "three hundred ninety-five trillion, eight hundred seventy-four billion, four hundred sixty-two million, four hundred twelve thousand, eight hundred".