399812964096 has 1296 divisors, whose sum is σ = 1477583202816. Its totient is φ = 93749280768.

The previous prime is 399812964049. The next prime is 399812964097. The reversal of 399812964096 is 690469218993.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399812964097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7543640806 + ... + 7543640858.

It is an arithmetic number, because the mean of its divisors is an integer number (1140110496).

Almost surely, 2^399812964096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399812964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738791601408).

399812964096 is an abundant number, since it is smaller than the sum of its proper divisors (1077770238720).

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

399812964096 is a wasteful number, since it uses less digits than its factorization.

399812964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 66.

The spelling of 399812964096 in words is "three hundred ninety-nine billion, eight hundred twelve million, nine hundred sixty-four thousand, ninety-six".