4993094400 has 432 divisors, whose sum is σ = 19076112384. Its totient is φ = 1126563840.

The previous prime is 4993094347. The next prime is 4993094413. The reversal of 4993094400 is 44903994.

It is a super-2 number, since 2×4993094400² = 49861983374622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13036609 + ... + 13036991.

Almost surely, 2^4993094400 is an apocalyptic number.

4993094400 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 4993094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538056192).

4993094400 is an abundant number, since it is smaller than the sum of its proper divisors (14083017984).

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

4993094400 is a wasteful number, since it uses less digits than its factorization.

4993094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 4993094400 is about 70661.8312811096. The cubic root of 4993094400 is about 1709.1883566534.

The spelling of 4993094400 in words is "four billion, nine hundred ninety-three million, ninety-four thousand, four hundred".