4981565400 has 576 divisors, whose sum is σ = 19236268800. Its totient is φ = 1060899840.

The previous prime is 4981565399. The next prime is 4981565401. The reversal of 4981565400 is 45651894.

It is an interprime number because it is at equal distance from previous prime (4981565399) and next prime (4981565401).

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 (4981565401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35838531 + ... + 35838669.

It is an arithmetic number, because the mean of its divisors is an integer number (33396300).

Almost surely, 2^4981565400 is an apocalyptic number.

4981565400 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 4981565400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618134400).

4981565400 is an abundant number, since it is smaller than the sum of its proper divisors (14254703400).

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

4981565400 is a wasteful number, since it uses less digits than its factorization.

4981565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4981565400 is about 70580.2054403357. The cubic root of 4981565400 is about 1707.8718438287.

The spelling of 4981565400 in words is "four billion, nine hundred eighty-one million, five hundred sixty-five thousand, four hundred".