4121357103360 has 864 divisors, whose sum is σ = 17428105497600. Its totient is φ = 919032791040.

The previous prime is 4121357103313. The next prime is 4121357103373. The reversal of 4121357103360 is 633017531214.

4121357103360 is a `hidden beast` number, since 4 + 1 + 21 + 3 + 571 + 0 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 69401361 + ... + 69460719.

It is an arithmetic number, because the mean of its divisors is an integer number (20171418400).

Almost surely, 2^{4121357103360} is an apocalyptic number.

4121357103360 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 4121357103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714052748800).

4121357103360 is an abundant number, since it is smaller than the sum of its proper divisors (13306748394240).

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

4121357103360 is a wasteful number, since it uses less digits than its factorization.

4121357103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59444 (or 59417 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 4121357103360 in words is "four trillion, one hundred twenty-one billion, three hundred fifty-seven million, one hundred three thousand, three hundred sixty".