4996118400 has 1152 divisors, whose sum is σ = 22204828800. Its totient is φ = 975421440.

The previous prime is 4996118383. The next prime is 4996118401. The reversal of 4996118400 is 48116994.

It is a super-2 number, since 2×4996118400² = 49922398133637120000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4996118401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116188779 + ... + 116188821.

It is an arithmetic number, because the mean of its divisors is an integer number (19275025).

Almost surely, 2^4996118400 is an apocalyptic number.

4996118400 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 4996118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11102414400).

4996118400 is an abundant number, since it is smaller than the sum of its proper divisors (17208710400).

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

4996118400 is a wasteful number, since it uses less digits than its factorization.

4996118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4996118400 is about 70683.2257328427. The cubic root of 4996118400 is about 1709.5333359454.

The spelling of 4996118400 in words is "four billion, nine hundred ninety-six million, one hundred eighteen thousand, four hundred".