4981616640 has 1248 divisors, whose sum is σ = 24043009536. Its totient is φ = 955514880.

The previous prime is 4981616617. The next prime is 4981616663. The reversal of 4981616640 is 466161894.

4981616640 is a `hidden beast` number, since 498 + 1 + 61 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4981616617) and next prime (4981616663).

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

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, 383201274 + ... + 383201286.

It is an arithmetic number, because the mean of its divisors is an integer number (19265232).

Almost surely, 2^4981616640 is an apocalyptic number.

4981616640 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 4981616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021504768).

4981616640 is an abundant number, since it is smaller than the sum of its proper divisors (19061392896).

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

4981616640 is a wasteful number, since it uses less digits than its factorization.

4981616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4981616640 is about 70580.5684306949. The cubic root of 4981616640 is about 1707.8776994883.

The spelling of 4981616640 in words is "four billion, nine hundred eighty-one million, six hundred sixteen thousand, six hundred forty".