399948103526400 has 3456 divisors, whose sum is σ = 1826955067392000. Its totient is φ = 84778057728000.

The previous prime is 399948103526393. The next prime is 399948103526417. The reversal of 399948103526400 is 4625301849993.

399948103526400 is a `hidden beast` number, since 3 + 9 + 9 + 94 + 8 + 10 + 3 + 526 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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, 48827746305 + ... + 48827754495.

It is an arithmetic number, because the mean of its divisors is an integer number (528632832000).

Almost surely, 2^{399948103526400} is an apocalyptic number.

399948103526400 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 399948103526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913477533696000).

399948103526400 is an abundant number, since it is smaller than the sum of its proper divisors (1427006963865600).

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

399948103526400 is a wasteful number, since it uses less digits than its factorization.

399948103526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 399948103526400 in words is "three hundred ninety-nine trillion, nine hundred forty-eight billion, one hundred three million, five hundred twenty-six thousand, four hundred".