3640641413040 has 60 divisors (see below), whose sum is σ = 12226487414544. Its totient is φ = 970837709952.

The previous prime is 3640641413023. The next prime is 3640641413041. The reversal of 3640641413040 is 403141460463.

3640641413040 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 641 + 4 + 1 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 3640641412986 and 3640641413004.

It is not an unprimeable number, because it can be changed into a prime (3640641413041) 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, 2528222484 + ... + 2528223923.

Almost surely, 2^{3640641413040} is an apocalyptic number.

3640641413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640641413040 is an abundant number, since it is smaller than the sum of its proper divisors (8585846001504).

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

3640641413040 is a wasteful number, since it uses less digits than its factorization.

3640641413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056446426 (or 5056446417 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3640641413040 in words is "three trillion, six hundred forty billion, six hundred forty-one million, four hundred thirteen thousand, forty".