1107416772000 has 960 divisors, whose sum is σ = 5067653310720. Its totient is φ = 230107392000.

The previous prime is 1107416771977. The next prime is 1107416772067. The reversal of 1107416772000 is 2776147011.

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, 24925806 + ... + 24970194.

It is an arithmetic number, because the mean of its divisors is an integer number (5278805532).

Almost surely, 2^{1107416772000} is an apocalyptic number.

1107416772000 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 1107416772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533826655360).

1107416772000 is an abundant number, since it is smaller than the sum of its proper divisors (3960236538720).

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

1107416772000 is a wasteful number, since it uses less digits than its factorization.

1107416772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44444 (or 44417 counting only the distinct ones).

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

The spelling of 1107416772000 in words is "one trillion, one hundred seven billion, four hundred sixteen million, seven hundred seventy-two thousand".