993144291840 has 800 divisors, whose sum is σ = 3758313309696. Its totient is φ = 250265272320.

The previous prime is 993144291827. The next prime is 993144291863. The reversal of 993144291840 is 48192441399.

993144291840 is a `hidden beast` number, since 9 + 9 + 31 + 4 + 429 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276409084 + ... + 276412676.

Almost surely, 2^993144291840 is an apocalyptic number.

993144291840 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 993144291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879156654848).

993144291840 is an abundant number, since it is smaller than the sum of its proper divisors (2765169017856).

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

993144291840 is a wasteful number, since it uses less digits than its factorization.

993144291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 993144291840 in words is "nine hundred ninety-three billion, one hundred forty-four million, two hundred ninety-one thousand, eight hundred forty".