6341250406400 has 432 divisors, whose sum is σ = 19696371851520. Its totient is φ = 2006890905600.

The previous prime is 6341250406367. The next prime is 6341250406423. The reversal of 6341250406400 is 46040521436.

It is a super-2 number, since 2×6341250406400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32517185 + ... + 32711615.

It is an arithmetic number, because the mean of its divisors is an integer number (45593453360).

Almost surely, 2^{6341250406400} 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 6341250406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848185925760).

6341250406400 is an abundant number, since it is smaller than the sum of its proper divisors (13355121445120).

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

6341250406400 is a wasteful number, since it uses less digits than its factorization.

6341250406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194490 (or 194458 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 6341250406400 its reverse (46040521436), we get a palindrome (6387290927836).

The spelling of 6341250406400 in words is "six trillion, three hundred forty-one billion, two hundred fifty million, four hundred six thousand, four hundred".