399910089600 has 2160 divisors, whose sum is σ = 1841057867880. Its totient is φ = 85070684160.

The previous prime is 399910089571. The next prime is 399910089647. The reversal of 399910089600 is 6980019993.

It is a tau number, because it is divible by the number of its divisors (2160).

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 269 ways as a sum of consecutive naturals, for example, 10808380782 + ... + 10808380818.

Almost surely, 2^399910089600 is an apocalyptic number.

399910089600 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 399910089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920528933940).

399910089600 is an abundant number, since it is smaller than the sum of its proper divisors (1441147778280).

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

399910089600 is a wasteful number, since it uses less digits than its factorization.

399910089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 399910089600 in words is "three hundred ninety-nine billion, nine hundred ten million, eighty-nine thousand, six hundred".