1079412441120 has 960 divisors, whose sum is σ = 4207626694656. Its totient is φ = 258974392320.

The previous prime is 1079412441119. The next prime is 1079412441131. The reversal of 1079412441120 is 211442149701.

It is a happy number.

1079412441120 is a `hidden beast` number, since 1 + 0 + 7 + 94 + 1 + 2 + 441 + 120 = 666.

1079412441120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 1305214147 + ... + 1305214973.

Almost surely, 2^{1079412441120} is an apocalyptic number.

1079412441120 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 1079412441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103813347328).

1079412441120 is an abundant number, since it is smaller than the sum of its proper divisors (3128214253536).

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

1079412441120 is a wasteful number, since it uses less digits than its factorization.

1079412441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1079412441120 in words is "one trillion, seventy-nine billion, four hundred twelve million, four hundred forty-one thousand, one hundred twenty".