1074077061120 has 1248 divisors, whose sum is σ = 4428329817600. Its totient is φ = 235693670400.

The previous prime is 1074077061097. The next prime is 1074077061133. The reversal of 1074077061120 is 211607704701.

1074077061120 is a `hidden beast` number, since 1 + 0 + 7 + 407 + 70 + 61 + 120 = 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 95 ways as a sum of consecutive naturals, for example, 7113093045 + ... + 7113093195.

It is an arithmetic number, because the mean of its divisors is an integer number (3548341200).

Almost surely, 2^{1074077061120} is an apocalyptic number.

1074077061120 is a gapful number since it is divisible by the number (10) 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 1074077061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214164908800).

1074077061120 is an abundant number, since it is smaller than the sum of its proper divisors (3354252756480).

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

1074077061120 is a wasteful number, since it uses less digits than its factorization.

1074077061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 1074077061120 in words is "one trillion, seventy-four billion, seventy-seven million, sixty-one thousand, one hundred twenty".