399601641600 has 864 divisors, whose sum is σ = 1692777964800. Its totient is φ = 91303925760.

The previous prime is 399601641599. The next prime is 399601641601. The reversal of 399601641600 is 6146106993.

399601641600 is a `hidden beast` number, since 39 + 9 + 6 + 0 + 1 + 6 + 4 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (399601641599) and next prime (399601641601).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399601641601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146965041 + ... + 146967759.

Almost surely, 2^399601641600 is an apocalyptic number.

399601641600 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 399601641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846388982400).

399601641600 is an abundant number, since it is smaller than the sum of its proper divisors (1293176323200).

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

399601641600 is an frugal number, since it uses more digits than its factorization.

399601641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 399601641600 in words is "three hundred ninety-nine billion, six hundred one million, six hundred forty-one thousand, six hundred".