993934439424 has 264 divisors, whose sum is σ = 2914415431200. Its totient is φ = 326207619072.

The previous prime is 993934439419. The next prime is 993934439593. The reversal of 993934439424 is 424934439399.

993934439424 is a `hidden beast` number, since 9 + 93 + 93 + 4 + 4 + 39 + 424 = 666.

993934439424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×993934439424² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242480127 + ... + 242484225.

Almost surely, 2^993934439424 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 993934439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457207715600).

993934439424 is an abundant number, since it is smaller than the sum of its proper divisors (1920480991776).

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

993934439424 is a wasteful number, since it uses less digits than its factorization.

993934439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4504 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 63.

The spelling of 993934439424 in words is "nine hundred ninety-three billion, nine hundred thirty-four million, four hundred thirty-nine thousand, four hundred twenty-four".