4120613087360 has 768 divisors, whose sum is σ = 13113816537600. Its totient is φ = 1222868828160.

The previous prime is 4120613087351. The next prime is 4120613087401. The reversal of 4120613087360 is 637803160214.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 599882006 + ... + 599888874.

It is an arithmetic number, because the mean of its divisors is an integer number (17075281950).

Almost surely, 2^{4120613087360} is an apocalyptic number.

4120613087360 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 4120613087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556908268800).

4120613087360 is an abundant number, since it is smaller than the sum of its proper divisors (8993203450240).

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

4120613087360 is a wasteful number, since it uses less digits than its factorization.

4120613087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 4120613087360 in words is "four trillion, one hundred twenty billion, six hundred thirteen million, eighty-seven thousand, three hundred sixty".