1040256770784 has 576 divisors, whose sum is σ = 3676758365952. Its totient is φ = 253773004800.

The previous prime is 1040256770731. The next prime is 1040256770789. The reversal of 1040256770784 is 4870776520401.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040256770789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574409239 + ... + 574411049.

It is an arithmetic number, because the mean of its divisors is an integer number (6383261052).

Almost surely, 2^{1040256770784} is an apocalyptic number.

1040256770784 is a gapful number since it is divisible by the number (14) 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 1040256770784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838379182976).

1040256770784 is an abundant number, since it is smaller than the sum of its proper divisors (2636501595168).

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

1040256770784 is a wasteful number, since it uses less digits than its factorization.

1040256770784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 1040256770784 in words is "one trillion, forty billion, two hundred fifty-six million, seven hundred seventy thousand, seven hundred eighty-four".