9952401024 has 192 divisors, whose sum is σ = 30188246400. Its totient is φ = 3140966400.

The previous prime is 9952401013. The next prime is 9952401061. The reversal of 9952401024 is 4201042599.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9952401024² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9952401024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674237 + ... + 2677955.

It is an arithmetic number, because the mean of its divisors is an integer number (157230450).

Almost surely, 2^9952401024 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 9952401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094123200).

9952401024 is an abundant number, since it is smaller than the sum of its proper divisors (20235845376).

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

9952401024 is a wasteful number, since it uses less digits than its factorization.

9952401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9952401024 is about 99761.7212361535. The cubic root of 9952401024 is about 2151.0109558941.

The spelling of 9952401024 in words is "nine billion, nine hundred fifty-two million, four hundred one thousand, twenty-four".