9948401337600 has 2592 divisors, whose sum is σ = 42866749685760. Its totient is φ = 2257403904000.

The previous prime is 9948401337571. The next prime is 9948401337613. The reversal of 9948401337600 is 67331048499.

It is a happy number.

9948401337600 is a `hidden beast` number, since 99 + 484 + 0 + 1 + 3 + 3 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×9948401337600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41279673480 + ... + 41279673720.

Almost surely, 2^{9948401337600} is an apocalyptic number.

9948401337600 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 9948401337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433374842880).

9948401337600 is an abundant number, since it is smaller than the sum of its proper divisors (32918348348160).

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

9948401337600 is a wasteful number, since it uses less digits than its factorization.

9948401337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9948401337600 in words is "nine trillion, nine hundred forty-eight billion, four hundred one million, three hundred thirty-seven thousand, six hundred".