4661405280 has 864 divisors, whose sum is σ = 20358384480. Its totient is φ = 992839680.

The previous prime is 4661405263. The next prime is 4661405297. The reversal of 4661405280 is 825041664.

4661405280 is a `hidden beast` number, since 466 + 140 + 52 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4661405263) and next prime (4661405297).

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 76416450 + ... + 76416510.

It is an arithmetic number, because the mean of its divisors is an integer number (23562945).

Almost surely, 2^4661405280 is an apocalyptic number.

4661405280 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 4661405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10179192240).

4661405280 is an abundant number, since it is smaller than the sum of its proper divisors (15696979200).

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

4661405280 is a wasteful number, since it uses less digits than its factorization.

4661405280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4661405280 is about 68274.4848387741. The cubic root of 4661405280 is about 1670.4710540855.

The spelling of 4661405280 in words is "four billion, six hundred sixty-one million, four hundred five thousand, two hundred eighty".