4987844400 has 480 divisors, whose sum is σ = 20795240448. Its totient is φ = 990950400.

The previous prime is 4987844399. The next prime is 4987844419. The reversal of 4987844400 is 44487894.

It is a super-2 number, since 2×4987844400² = 49757183517222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4987844400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2124027 + ... + 2126373.

Almost surely, 2^4987844400 is an apocalyptic number.

4987844400 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 4987844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397620224).

4987844400 is an abundant number, since it is smaller than the sum of its proper divisors (15807396048).

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

4987844400 is a wasteful number, since it uses less digits than its factorization.

4987844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 4987844400 is about 70624.6727426046. The cubic root of 4987844400 is about 1708.5891033001.

The spelling of 4987844400 in words is "four billion, nine hundred eighty-seven million, eight hundred forty-four thousand, four hundred".