4982342400 has 540 divisors, whose sum is σ = 21069036912. Its totient is φ = 1137991680.

The previous prime is 4982342383. The next prime is 4982342401. The reversal of 4982342400 is 42432894.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4982342401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628114 + ... + 3629486.

Almost surely, 2^4982342400 is an apocalyptic number.

4982342400 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 4982342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10534518456).

4982342400 is an abundant number, since it is smaller than the sum of its proper divisors (16086694512).

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

4982342400 is a wasteful number, since it uses less digits than its factorization.

4982342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4982342400 is about 70585.7096018734. The cubic root of 4982342400 is about 1707.9606343546.

The spelling of 4982342400 in words is "four billion, nine hundred eighty-two million, three hundred forty-two thousand, four hundred".