9958201344 has 384 divisors, whose sum is σ = 36324288000. Its totient is φ = 2625011712.

The previous prime is 9958201339. The next prime is 9958201361. The reversal of 9958201344 is 4431028599.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9958201344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5030947 + ... + 5032925.

It is an arithmetic number, because the mean of its divisors is an integer number (94594500).

Almost surely, 2^9958201344 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 9958201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144000).

9958201344 is an abundant number, since it is smaller than the sum of its proper divisors (26366086656).

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

9958201344 is a wasteful number, since it uses less digits than its factorization.

9958201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9958201344 is about 99790.7878714263. The cubic root of 9958201344 is about 2151.4287488407.

The spelling of 9958201344 in words is "nine billion, nine hundred fifty-eight million, two hundred one thousand, three hundred forty-four".