4661130240 has 528 divisors, whose sum is σ = 18025652736. Its totient is φ = 1105920000.

The previous prime is 4661130203. The next prime is 4661130259. The reversal of 4661130240 is 420311664.

4661130240 is a `hidden beast` number, since 4 + 6 + 611 + 3 + 0 + 2 + 40 = 666.

It is a super-2 number, since 2×4661130240² = 43452270228484915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18570115 + ... + 18570365.

Almost surely, 2^4661130240 is an apocalyptic number.

4661130240 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 4661130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012826368).

4661130240 is an abundant number, since it is smaller than the sum of its proper divisors (13364522496).

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

4661130240 is a wasteful number, since it uses less digits than its factorization.

4661130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4661130240 is about 68272.4705866135. The cubic root of 4661130240 is about 1670.4381988006.

The spelling of 4661130240 in words is "four billion, six hundred sixty-one million, one hundred thirty thousand, two hundred forty".