3042262455120 has 960 divisors, whose sum is σ = 12084769382400. Its totient is φ = 685538380800.

The previous prime is 3042262455103. The next prime is 3042262455131. The reversal of 3042262455120 is 215542622403.

3042262455120 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 2 + 624 + 5 + 5 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8767326787 + ... + 8767327133.

It is an arithmetic number, because the mean of its divisors is an integer number (12588301440).

Almost surely, 2^{3042262455120} is an apocalyptic number.

3042262455120 is a gapful number since it is divisible by the number (30) 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 3042262455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042384691200).

3042262455120 is an abundant number, since it is smaller than the sum of its proper divisors (9042506927280).

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

3042262455120 is a wasteful number, since it uses less digits than its factorization.

3042262455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3042262455120 in words is "three trillion, forty-two billion, two hundred sixty-two million, four hundred fifty-five thousand, one hundred twenty".