4807877040 has 320 divisors, whose sum is σ = 17551257600. Its totient is φ = 1206337536.

The previous prime is 4807877029. The next prime is 4807877047. The reversal of 4807877040 is 407787084.

It is a super-3 number, since 3×4807877040³ (a number of 30 digits) contains 333 as substring.

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 (4807877047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7920417 + ... + 7921023.

It is an arithmetic number, because the mean of its divisors is an integer number (54847680).

Almost surely, 2^4807877040 is an apocalyptic number.

4807877040 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 4807877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775628800).

4807877040 is an abundant number, since it is smaller than the sum of its proper divisors (12743380560).

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

4807877040 is a wasteful number, since it uses less digits than its factorization.

4807877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4807877040 is about 69338.8566389726. The cubic root of 4807877040 is about 1687.7875697574.

The spelling of 4807877040 in words is "four billion, eight hundred seven million, eight hundred seventy-seven thousand, forty".