2407079445120 has 512 divisors, whose sum is σ = 9747426816000. Its totient is φ = 549936304128.

The previous prime is 2407079445107. The next prime is 2407079445149. The reversal of 2407079445120 is 215449707042.

2407079445120 is a `hidden beast` number, since 2 + 40 + 7 + 0 + 7 + 94 + 4 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428074629 + ... + 428080251.

It is an arithmetic number, because the mean of its divisors is an integer number (19037943000).

Almost surely, 2^{2407079445120} is an apocalyptic number.

2407079445120 is a gapful number since it is divisible by the number (20) 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 2407079445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873713408000).

2407079445120 is an abundant number, since it is smaller than the sum of its proper divisors (7340347370880).

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

2407079445120 is a wasteful number, since it uses less digits than its factorization.

2407079445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2407079445120 in words is "two trillion, four hundred seven billion, seventy-nine million, four hundred forty-five thousand, one hundred twenty".