4861745542080 has 672 divisors, whose sum is σ = 20991844224000. Its totient is φ = 1006994571264.

The previous prime is 4861745542063. The next prime is 4861745542109. The reversal of 4861745542080 is 802455471684.

4861745542080 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 7 + 4 + 554 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8533996 + ... + 9085844.

Almost surely, 2^{4861745542080} is an apocalyptic number.

4861745542080 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 4861745542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495922112000).

4861745542080 is an abundant number, since it is smaller than the sum of its proper divisors (16130098681920).

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

4861745542080 is a wasteful number, since it uses less digits than its factorization.

4861745542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551921 (or 551908 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4861745542080 in words is "four trillion, eight hundred sixty-one billion, seven hundred forty-five million, five hundred forty-two thousand, eighty".