97408940428800 has 5760 divisors, whose sum is σ = 497729253288960. Its totient is φ = 18019418112000.

The previous prime is 97408940428781. The next prime is 97408940428847. The reversal of 97408940428800 is 882404980479.

97408940428800 is a `hidden beast` number, since 9 + 7 + 40 + 8 + 94 + 0 + 428 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 332453721454 + ... + 332453721746.

It is an arithmetic number, because the mean of its divisors is an integer number (86411328696).

Almost surely, 2^{97408940428800} is an apocalyptic number.

97408940428800 is a gapful number since it is divisible by the number (90) 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 97408940428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248864626644480).

97408940428800 is an abundant number, since it is smaller than the sum of its proper divisors (400320312860160).

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

97408940428800 is a wasteful number, since it uses less digits than its factorization.

97408940428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 97408940428800 in words is "ninety-seven trillion, four hundred eight billion, nine hundred forty million, four hundred twenty-eight thousand, eight hundred".