4009747130640 has 120 divisors (see below), whose sum is σ = 13599395094168. Its totient is φ = 1058679091200.

The previous prime is 4009747130621. The next prime is 4009747130671. The reversal of 4009747130640 is 460317479004.

4009747130640 is a `hidden beast` number, since 4 + 0 + 0 + 97 + 471 + 30 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2502863217936 + 1506883912704 = 1582044^2 + 1227552^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27497049 + ... + 27642488.

Almost surely, 2^{4009747130640} is an apocalyptic number.

4009747130640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009747130640 is an abundant number, since it is smaller than the sum of its proper divisors (9589647963528).

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

4009747130640 is a wasteful number, since it uses less digits than its factorization.

4009747130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55139657 (or 55139648 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 4009747130640 in words is "four trillion, nine billion, seven hundred forty-seven million, one hundred thirty thousand, six hundred forty".