399816648000 has 1344 divisors, whose sum is σ = 1849853730816. Its totient is φ = 83047680000.

The previous prime is 399816647963. The next prime is 399816648031. The reversal of 399816648000 is 846618993.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149686665 + ... + 149689335.

It is an arithmetic number, because the mean of its divisors is an integer number (1376379264).

Almost surely, 2^399816648000 is an apocalyptic number.

399816648000 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 399816648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924926865408).

399816648000 is an abundant number, since it is smaller than the sum of its proper divisors (1450037082816).

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

399816648000 is a wasteful number, since it uses less digits than its factorization.

399816648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 399816648000 in words is "three hundred ninety-nine billion, eight hundred sixteen million, six hundred forty-eight thousand".