1050766078140 has 144 divisors (see below), whose sum is σ = 3292468058880. Its totient is φ = 270973624320.

The previous prime is 1050766078057. The next prime is 1050766078177. The reversal of 1050766078140 is 418706670501.

1050766078140 is a `hidden beast` number, since 1 + 0 + 507 + 6 + 60 + 7 + 81 + 4 + 0 = 666.

It is a super-2 number, since 2×1050766078140² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7907932 + ... + 8039708.

It is an arithmetic number, because the mean of its divisors is an integer number (22864361520).

Almost surely, 2^{1050766078140} is an apocalyptic number.

1050766078140 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 1050766078140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646234029440).

1050766078140 is an abundant number, since it is smaller than the sum of its proper divisors (2241701980740).

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

1050766078140 is a wasteful number, since it uses less digits than its factorization.

1050766078140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133252 (or 133247 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1050766078140 in words is "one trillion, fifty billion, seven hundred sixty-six million, seventy-eight thousand, one hundred forty".