399699831100416 has 704 divisors, whose sum is σ = 1359845269026816. Its totient is φ = 101349074534400.

The previous prime is 399699831100399. The next prime is 399699831100417. The reversal of 399699831100416 is 614001138996993.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399699831100417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20881858206 + ... + 20881877346.

It is an arithmetic number, because the mean of its divisors is an integer number (1931598393504).

Almost surely, 2^{399699831100416} 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 399699831100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679922634513408).

399699831100416 is an abundant number, since it is smaller than the sum of its proper divisors (960145437926400).

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

399699831100416 is a wasteful number, since it uses less digits than its factorization.

399699831100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 69.

The spelling of 399699831100416 in words is "three hundred ninety-nine trillion, six hundred ninety-nine billion, eight hundred thirty-one million, one hundred thousand, four hundred sixteen".