4114590480 has 960 divisors, whose sum is σ = 19283765760. Its totient is φ = 784650240.

The previous prime is 4114590443. The next prime is 4114590511. The reversal of 4114590480 is 840954114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23783674 + ... + 23783846.

It is an arithmetic number, because the mean of its divisors is an integer number (20087256).

Almost surely, 2^4114590480 is an apocalyptic number.

4114590480 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 4114590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641882880).

4114590480 is an abundant number, since it is smaller than the sum of its proper divisors (15169175280).

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

4114590480 is a wasteful number, since it uses less digits than its factorization.

4114590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

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

The square root of 4114590480 is about 64145.0737001681. The cubic root of 4114590480 is about 1602.4169824506.

The spelling of 4114590480 in words is "four billion, one hundred fourteen million, five hundred ninety thousand, four hundred eighty".