4611314810880 has 1120 divisors, whose sum is σ = 17603980416000. Its totient is φ = 1155790798848.

The previous prime is 4611314810857. The next prime is 4611314810881. The reversal of 4611314810880 is 880184131164.

4611314810880 is a `hidden beast` number, since 4 + 61 + 1 + 31 + 481 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4611314810881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36309565377 + ... + 36309565503.

Almost surely, 2^{4611314810880} is an apocalyptic number.

4611314810880 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 4611314810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801990208000).

4611314810880 is an abundant number, since it is smaller than the sum of its proper divisors (12992665605120).

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

4611314810880 is an frugal number, since it uses more digits than its factorization.

4611314810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 4611314810880 in words is "four trillion, six hundred eleven billion, three hundred fourteen million, eight hundred ten thousand, eight hundred eighty".