993113533440 has 704 divisors, whose sum is σ = 4209004062720. Its totient is φ = 217123061760.

The previous prime is 993113533333. The next prime is 993113533471. The reversal of 993113533440 is 44335311399.

993113533440 is a `hidden beast` number, since 9 + 93 + 113 + 5 + 3 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 22234330 + ... + 22278950.

Almost surely, 2^993113533440 is an apocalyptic number.

993113533440 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 993113533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104502031360).

993113533440 is an abundant number, since it is smaller than the sum of its proper divisors (3215890529280).

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

993113533440 is a wasteful number, since it uses less digits than its factorization.

993113533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44685 (or 44661 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 993113533440 in words is "nine hundred ninety-three billion, one hundred thirteen million, five hundred thirty-three thousand, four hundred forty".