9972253440 has 252 divisors, whose sum is σ = 35816962944. Its totient is φ = 2659018752.

The previous prime is 9972253429. The next prime is 9972253469. The reversal of 9972253440 is 443522799.

9972253440 is a `hidden beast` number, since 9 + 9 + 72 + 2 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 927777 + ... + 938463.

Almost surely, 2^9972253440 is an apocalyptic number.

9972253440 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 9972253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908481472).

9972253440 is an abundant number, since it is smaller than the sum of its proper divisors (25844709504).

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

9972253440 is an equidigital number, since it uses as much as digits as its factorization.

9972253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9972253440 is about 99861.1708323110. The cubic root of 9972253440 is about 2152.4402392082.

The spelling of 9972253440 in words is "nine billion, nine hundred seventy-two million, two hundred fifty-three thousand, four hundred forty".