4880413440 has 216 divisors, whose sum is σ = 19298287008. Its totient is φ = 1115504640.

The previous prime is 4880413427. The next prime is 4880413453. The reversal of 4880413440 is 443140884.

4880413440 is a `hidden beast` number, since 488 + 0 + 4 + 134 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4880413427) and next prime (4880413453).

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

It is a junction number, because it is equal to n+sod(n) for n = 4880413395 and 4880413404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50380 + ... + 110900.

Almost surely, 2^4880413440 is an apocalyptic number.

4880413440 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 4880413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9649143504).

4880413440 is an abundant number, since it is smaller than the sum of its proper divisors (14417873568).

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

4880413440 is a wasteful number, since it uses less digits than its factorization.

4880413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60555 (or 60538 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4880413440 is about 69859.9559118097. The cubic root of 4880413440 is about 1696.2331173570.

The spelling of 4880413440 in words is "four billion, eight hundred eighty million, four hundred thirteen thousand, four hundred forty".