4815641217024 has 2016 divisors, whose sum is σ = 17715712996800. Its totient is φ = 1300694630400.

The previous prime is 4815641216957. The next prime is 4815641217059. The reversal of 4815641217024 is 4207121465184.

4815641217024 is a `hidden beast` number, since 4 + 8 + 1 + 564 + 12 + 1 + 70 + 2 + 4 = 666.

It is a super-2 number, since 2×4815641217024² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 78944937954 + ... + 78944938014.

It is an arithmetic number, because the mean of its divisors is an integer number (8787556050).

Almost surely, 2^{4815641217024} is an apocalyptic number.

4815641217024 is a gapful number since it is divisible by the number (44) 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 4815641217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857856498400).

4815641217024 is an abundant number, since it is smaller than the sum of its proper divisors (12900071779776).

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

4815641217024 is a wasteful number, since it uses less digits than its factorization.

4815641217024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4815641217024 in words is "four trillion, eight hundred fifteen billion, six hundred forty-one million, two hundred seventeen thousand, twenty-four".