2371401068400 has 1200 divisors, whose sum is σ = 10532133900288. Its totient is φ = 497601792000.

The previous prime is 2371401068369. The next prime is 2371401068447. The reversal of 2371401068400 is 48601041732.

2371401068400 is a `hidden beast` number, since 2 + 3 + 7 + 140 + 106 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2371401068400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 563142295 + ... + 563146505.

Almost surely, 2^{2371401068400} is an apocalyptic number.

2371401068400 is a gapful number since it is divisible by the number (20) 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 2371401068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266066950144).

2371401068400 is an abundant number, since it is smaller than the sum of its proper divisors (8160732831888).

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

2371401068400 is a wasteful number, since it uses less digits than its factorization.

2371401068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2371401068400 in words is "two trillion, three hundred seventy-one billion, four hundred one million, sixty-eight thousand, four hundred".