4918838400 has 480 divisors, whose sum is σ = 20752332480. Its totient is φ = 1123891200.

The previous prime is 4918838387. The next prime is 4918838401. The reversal of 4918838400 is 48388194.

4918838400 is a `hidden beast` number, since 491 + 8 + 83 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4918838401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1813045 + ... + 1815755.

It is an arithmetic number, because the mean of its divisors is an integer number (43234026).

Almost surely, 2^4918838400 is an apocalyptic number.

4918838400 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 4918838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376166240).

4918838400 is an abundant number, since it is smaller than the sum of its proper divisors (15833494080).

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

4918838400 is a wasteful number, since it uses less digits than its factorization.

4918838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4918838400 is about 70134.4309166332. The cubic root of 4918838400 is about 1700.6731359658.

The spelling of 4918838400 in words is "four billion, nine hundred eighteen million, eight hundred thirty-eight thousand, four hundred".