6401941638400 has 864 divisors, whose sum is σ = 20456210718720. Its totient is φ = 1925074944000.

The previous prime is 6401941638349. The next prime is 6401941638401. The reversal of 6401941638400 is 48361491046.

It is a super-3 number, since 3×6401941638400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401941638401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9456338862 + ... + 9456339538.

Almost surely, 2^{6401941638400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401941638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228105359360).

6401941638400 is an abundant number, since it is smaller than the sum of its proper divisors (14054269080320).

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

6401941638400 is a wasteful number, since it uses less digits than its factorization.

6401941638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 6401941638400 in words is "six trillion, four hundred one billion, nine hundred forty-one million, six hundred thirty-eight thousand, four hundred".