1040434677072 has 120 divisors (see below), whose sum is σ = 3328015318784. Its totient is φ = 297242410752.

The previous prime is 1040434677071. The next prime is 1040434677151. The reversal of 1040434677072 is 2707764340401.

1040434677072 is a `hidden beast` number, since 10 + 4 + 0 + 43 + 467 + 70 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040434677071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14613753 + ... + 14684775.

Almost surely, 2^{1040434677072} is an apocalyptic number.

1040434677072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040434677072 is an abundant number, since it is smaller than the sum of its proper divisors (2287580641712).

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

1040434677072 is a wasteful number, since it uses less digits than its factorization.

1040434677072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85577 (or 85568 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 1040434677072 in words is "one trillion, forty billion, four hundred thirty-four million, six hundred seventy-seven thousand, seventy-two".