3640641214001 has 16 divisors (see below), whose sum is σ = 4018294344960. Its totient is φ = 3270916696080.

The previous prime is 3640641213983. The next prime is 3640641214087. The reversal of 3640641214001 is 1004121460463.

It is not a de Polignac number, because 3640641214001 - 2¹⁴ = 3640641197617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3640641214201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197951 + ... + 4184276.

It is an arithmetic number, because the mean of its divisors is an integer number (251143396560).

Almost surely, 2^{3640641214001} is an apocalyptic number.

It is an amenable number.

3640641214001 is a deficient number, since it is larger than the sum of its proper divisors (377653130959).

3640641214001 is a wasteful number, since it uses less digits than its factorization.

3640641214001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382764.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 3640641214001 its reverse (1004121460463), we get a palindrome (4644762674464).

The spelling of 3640641214001 in words is "three trillion, six hundred forty billion, six hundred forty-one million, two hundred fourteen thousand, one".