97233440400 has 360 divisors, whose sum is σ = 346222406816. Its totient is φ = 25256448000.

The previous prime is 97233440371. The next prime is 97233440411. The reversal of 97233440400 is 404433279.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80959800 + ... + 80961000.

Almost surely, 2^97233440400 is an apocalyptic number.

97233440400 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 97233440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173111203408).

97233440400 is an abundant number, since it is smaller than the sum of its proper divisors (248988966416).

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

97233440400 is a wasteful number, since it uses less digits than its factorization.

97233440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 97233440400 its reverse (404433279), we get a palindrome (97637873679).

The spelling of 97233440400 in words is "ninety-seven billion, two hundred thirty-three million, four hundred forty thousand, four hundred".