6401169369600 has 480 divisors, whose sum is σ = 21564866385216. Its totient is φ = 1673487974400.

The previous prime is 6401169369563. The next prime is 6401169369631. The reversal of 6401169369600 is 69639611046.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6401169369600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398545570 + ... + 398561630.

Almost surely, 2^{6401169369600} is an apocalyptic number.

6401169369600 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 6401169369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782433192608).

6401169369600 is an abundant number, since it is smaller than the sum of its proper divisors (15163697015616).

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

6401169369600 is a wasteful number, since it uses less digits than its factorization.

6401169369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16296 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 6401169369600 in words is "six trillion, four hundred one billion, one hundred sixty-nine million, three hundred sixty-nine thousand, six hundred".