9947831048400 has 480 divisors, whose sum is σ = 36677200151808. Its totient is φ = 2257661952000.

The previous prime is 9947831048387. The next prime is 9947831048521. The reversal of 9947831048400 is 48401387499.

It is a happy number.

It is a super-2 number, since 2×9947831048400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3551527000 + ... + 3551529800.

Almost surely, 2^{9947831048400} 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 9947831048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338600075904).

9947831048400 is an abundant number, since it is smaller than the sum of its proper divisors (26729369103408).

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

9947831048400 is a wasteful number, since it uses less digits than its factorization.

9947831048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 9947831048400 in words is "nine trillion, nine hundred forty-seven billion, eight hundred thirty-one million, forty-eight thousand, four hundred".