4661413440 has 112 divisors (see below), whose sum is σ = 14815889088. Its totient is φ = 1241708544.

The previous prime is 4661413411. The next prime is 4661413457. The reversal of 4661413440 is 443141664.

It is a super-2 number, since 2×4661413440² = 43457550517225267200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162479 + ... + 1166481.

It is an arithmetic number, because the mean of its divisors is an integer number (132284724).

Almost surely, 2^4661413440 is an apocalyptic number.

4661413440 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 4661413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407944544).

4661413440 is an abundant number, since it is smaller than the sum of its proper divisors (10154475648).

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

4661413440 is a wasteful number, since it uses less digits than its factorization.

4661413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4661413440 is about 68274.5445975292. The cubic root of 4661413440 is about 1670.4720288298.

The spelling of 4661413440 in words is "four billion, six hundred sixty-one million, four hundred thirteen thousand, four hundred forty".