868406408400 has 60 divisors (see below), whose sum is σ = 2781795198752. Its totient is φ = 231575041920.

The previous prime is 868406408383. The next prime is 868406408423. The reversal of 868406408400 is 4804604868.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 868406408400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361834804 + ... + 361837203.

Almost surely, 2^868406408400 is an apocalyptic number.

868406408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868406408400 is an abundant number, since it is smaller than the sum of its proper divisors (1913388790352).

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

868406408400 is a wasteful number, since it uses less digits than its factorization.

868406408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723672028 (or 723672017 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 868406408400 in words is "eight hundred sixty-eight billion, four hundred six million, four hundred eight thousand, four hundred".