4640040462240 has 72 divisors (see below), whose sum is σ = 15834138082308. Its totient is φ = 1237344122880.

The previous prime is 4640040462229. The next prime is 4640040462263. The reversal of 4640040462240 is 422640400464.

4640040462240 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 0 + 404 + 6 + 2 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4608698716944 + 31341745296 = 2146788^2 + 177036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 4640040462195 and 4640040462204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1611123721 + ... + 1611126600.

Almost surely, 2^{4640040462240} is an apocalyptic number.

4640040462240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640040462240 is an abundant number, since it is smaller than the sum of its proper divisors (11194097620068).

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

4640040462240 is a wasteful number, since it uses less digits than its factorization.

4640040462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222250342 (or 3222250331 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4640040462240 in words is "four trillion, six hundred forty billion, forty million, four hundred sixty-two thousand, two hundred forty".