1032709040640 has 120 divisors (see below), whose sum is σ = 3576561936948. Its totient is φ = 275389071360.

The previous prime is 1032709040563. The next prime is 1032709040647. The reversal of 1032709040640 is 460409072301.

1032709040640 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 0 + 9 + 0 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 987145576704 + 45563463936 = 993552^2 + 213456^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1032709040595 and 1032709040604.

It is not an unprimeable number, because it can be changed into a prime (1032709040647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22388181 + ... + 22434260.

Almost surely, 2^{1032709040640} is an apocalyptic number.

1032709040640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032709040640 is an abundant number, since it is smaller than the sum of its proper divisors (2543852896308).

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

1032709040640 is an equidigital number, since it uses as much as digits as its factorization.

1032709040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44822470 (or 44822451 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1032709040640 in words is "one trillion, thirty-two billion, seven hundred nine million, forty thousand, six hundred forty".