4861042560 has 384 divisors, whose sum is σ = 19393227360. Its totient is φ = 1108869120.

The previous prime is 4861042547. The next prime is 4861042567. The reversal of 4861042560 is 652401684.

4861042560 is a `hidden beast` number, since 4 + 86 + 10 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861042567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074864 + ... + 1079376.

Almost surely, 2^4861042560 is an apocalyptic number.

4861042560 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 4861042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696613680).

4861042560 is an abundant number, since it is smaller than the sum of its proper divisors (14532184800).

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

4861042560 is a wasteful number, since it uses less digits than its factorization.

4861042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4551 counting only the distinct ones).

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

The square root of 4861042560 is about 69721.1772706113. The cubic root of 4861042560 is about 1693.9859651188.

The spelling of 4861042560 in words is "four billion, eight hundred sixty-one million, forty-two thousand, five hundred sixty".