4612912106880 has 1024 divisors, whose sum is σ = 19040724172800. Its totient is φ = 921730252800.

The previous prime is 4612912106837. The next prime is 4612912106923. The reversal of 4612912106880 is 886012192164.

It is an interprime number because it is at equal distance from previous prime (4612912106837) and next prime (4612912106923).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1127573635 + ... + 1127577725.

It is an arithmetic number, because the mean of its divisors is an integer number (18594457200).

Almost surely, 2^{4612912106880} is an apocalyptic number.

4612912106880 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 4612912106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520362086400).

4612912106880 is an abundant number, since it is smaller than the sum of its proper divisors (14427812065920).

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

4612912106880 is a wasteful number, since it uses less digits than its factorization.

4612912106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 4612912106880 in words is "four trillion, six hundred twelve billion, nine hundred twelve million, one hundred six thousand, eight hundred eighty".