4815611032320 has 1152 divisors, whose sum is σ = 19278796078080. Its totient is φ = 1128144568320.

The previous prime is 4815611032231. The next prime is 4815611032343. The reversal of 4815611032320 is 232301165184.

4815611032320 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 611 + 0 + 3 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4815611032320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1585645842 + ... + 1585648878.

It is an arithmetic number, because the mean of its divisors is an integer number (16735066040).

Almost surely, 2^{4815611032320} is an apocalyptic number.

4815611032320 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 4815611032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639398039040).

4815611032320 is an abundant number, since it is smaller than the sum of its proper divisors (14463185045760).

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

4815611032320 is a wasteful number, since it uses less digits than its factorization.

4815611032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4815611032320 in words is "four trillion, eight hundred fifteen billion, six hundred eleven million, thirty-two thousand, three hundred twenty".