4993162718400 has 504 divisors, whose sum is σ = 17900750466144. Its totient is φ = 1319992934400.

The previous prime is 4993162718399. The next prime is 4993162718449. The reversal of 4993162718400 is 48172613994.

4993162718400 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 1 + 627 + 1 + 8 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2097085210 + ... + 2097087590.

It is an arithmetic number, because the mean of its divisors is an integer number (35517362036).

Almost surely, 2^{4993162718400} is an apocalyptic number.

4993162718400 is a gapful number since it is divisible by the number (40) 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 4993162718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950375233072).

4993162718400 is an abundant number, since it is smaller than the sum of its proper divisors (12907587747744).

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

4993162718400 is a wasteful number, since it uses less digits than its factorization.

4993162718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4993162718400 in words is "four trillion, nine hundred ninety-three billion, one hundred sixty-two million, seven hundred eighteen thousand, four hundred".