6404371022400 has 1344 divisors, whose sum is σ = 24481493084160. Its totient is φ = 1451704320000.

The previous prime is 6404371022363. The next prime is 6404371022431. The reversal of 6404371022400 is 42201734046.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17839473421 + ... + 17839473779.

It is an arithmetic number, because the mean of its divisors is an integer number (18215396640).

Almost surely, 2^{6404371022400} is an apocalyptic number.

6404371022400 is a gapful number since it is divisible by the number (60) 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 6404371022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240746542080).

6404371022400 is an abundant number, since it is smaller than the sum of its proper divisors (18077122061760).

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

6404371022400 is a wasteful number, since it uses less digits than its factorization.

6404371022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 6404371022400 its reverse (42201734046), we get a palindrome (6446572756446).

The spelling of 6404371022400 in words is "six trillion, four hundred four billion, three hundred seventy-one million, twenty-two thousand, four hundred".