993449318400 has 3456 divisors, whose sum is σ = 4950538145280. Its totient is φ = 191102976000.

The previous prime is 993449318399. The next prime is 993449318413. The reversal of 993449318400 is 4813944399.

993449318400 is a `hidden beast` number, since 9 + 93 + 449 + 31 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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, 16286054370 + ... + 16286054430.

It is an arithmetic number, because the mean of its divisors is an integer number (1432447380).

Almost surely, 2^993449318400 is an apocalyptic number.

993449318400 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 993449318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475269072640).

993449318400 is an abundant number, since it is smaller than the sum of its proper divisors (3957088826880).

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

993449318400 is a wasteful number, since it uses less digits than its factorization.

993449318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 993449318400 in words is "nine hundred ninety-three billion, four hundred forty-nine million, three hundred eighteen thousand, four hundred".