9939062400 has 192 divisors, whose sum is σ = 32851915200. Its totient is φ = 2641100800.

The previous prime is 9939062377. The next prime is 9939062423. The reversal of 9939062400 is 42609399.

It is an interprime number because it is at equal distance from previous prime (9939062377) and next prime (9939062423).

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

It is a super-2 number, since 2×9939062400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2983936 + ... + 2987264.

It is an arithmetic number, because the mean of its divisors is an integer number (171103725).

Almost surely, 2^9939062400 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 9939062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425957600).

9939062400 is an abundant number, since it is smaller than the sum of its proper divisors (22912852800).

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

9939062400 is a wasteful number, since it uses less digits than its factorization.

9939062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 9939062400 is about 99694.8464064216. The cubic root of 9939062400 is about 2150.0495679937.

The spelling of 9939062400 in words is "nine billion, nine hundred thirty-nine million, sixty-two thousand, four hundred".