6453116401400 has 96 divisors (see below), whose sum is σ = 15257205619200. Its totient is φ = 2537800137600.

The previous prime is 6453116401373. The next prime is 6453116401423. The reversal of 6453116401400 is 41046113546.

It is a super-2 number, since 2×6453116401400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464869 + ... + 5730731.

It is an arithmetic number, because the mean of its divisors is an integer number (158929225200).

Almost surely, 2^{6453116401400} 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 6453116401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628602809600).

6453116401400 is an abundant number, since it is smaller than the sum of its proper divisors (8804089217800).

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

6453116401400 is a wasteful number, since it uses less digits than its factorization.

6453116401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266309 (or 1266300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 6453116401400 in words is "six trillion, four hundred fifty-three billion, one hundred sixteen million, four hundred one thousand, four hundred".