4407175242120 has 192 divisors, whose sum is σ = 15394797576000. Its totient is φ = 1006394457600.

The previous prime is 4407175242073. The next prime is 4407175242149. The reversal of 4407175242120 is 212425717044.

It is a super-2 number, since 2×4407175242120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5823306 + ... + 6536454.

It is an arithmetic number, because the mean of its divisors is an integer number (80181237375).

Almost surely, 2^{4407175242120} is an apocalyptic number.

4407175242120 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 4407175242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697398788000).

4407175242120 is an abundant number, since it is smaller than the sum of its proper divisors (10987622333880).

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

4407175242120 is a wasteful number, since it uses less digits than its factorization.

4407175242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714228 (or 714217 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 4407175242120 in words is "four trillion, four hundred seven billion, one hundred seventy-five million, two hundred forty-two thousand, one hundred twenty".