4612139681520 has 320 divisors, whose sum is σ = 17112187607040. Its totient is φ = 1004725776384.

The previous prime is 4612139681509. The next prime is 4612139681521. The reversal of 4612139681520 is 251869312164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4612139681520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4612139681521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10487826 + ... + 10918734.

It is an arithmetic number, because the mean of its divisors is an integer number (53475586272).

Almost surely, 2^{4612139681520} is an apocalyptic number.

4612139681520 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 4612139681520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556093803520).

4612139681520 is an abundant number, since it is smaller than the sum of its proper divisors (12500047925520).

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

4612139681520 is a wasteful number, since it uses less digits than its factorization.

4612139681520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431232 (or 431226 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 4612139681520 in words is "four trillion, six hundred twelve billion, one hundred thirty-nine million, six hundred eighty-one thousand, five hundred twenty".