4114582920 has 576 divisors, whose sum is σ = 16536985920. Its totient is φ = 917070336.

The previous prime is 4114582909. The next prime is 4114582937. The reversal of 4114582920 is 292854114.

4114582920 is a `hidden beast` number, since 41 + 14 + 582 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25242759 + ... + 25242921.

It is an arithmetic number, because the mean of its divisors is an integer number (28710045).

Almost surely, 2^4114582920 is an apocalyptic number.

4114582920 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 4114582920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268492960).

4114582920 is an abundant number, since it is smaller than the sum of its proper divisors (12422403000).

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

4114582920 is a wasteful number, since it uses less digits than its factorization.

4114582920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4114582920 is about 64145.0147712198. The cubic root of 4114582920 is about 1602.4160010423.

The spelling of 4114582920 in words is "four billion, one hundred fourteen million, five hundred eighty-two thousand, nine hundred twenty".