38449920640001 has 16 divisors (see below), whose sum is σ = 41891563368144. Its totient is φ = 35078412939264.

The previous prime is 38449920639967. The next prime is 38449920640063. The reversal of 38449920640001 is 10004602994483.

It is a Cunningham number, because it is equal to 6200800²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 834710640625 + 37615209999376 = 913625^2 + 6133124^2 .

It is a cyclic number.

It is not a de Polignac number, because 38449920640001 - 2¹⁸ = 38449920377857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38449920640301) 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, 19874876 + ... + 21723501.

It is an arithmetic number, because the mean of its divisors is an integer number (2618222710509).

Almost surely, 2^{38449920640001} is an apocalyptic number.

It is an amenable number.

38449920640001 is a deficient number, since it is larger than the sum of its proper divisors (3441642728143).

38449920640001 is a wasteful number, since it uses less digits than its factorization.

38449920640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41599220.

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 38449920640001 in words is "thirty-eight trillion, four hundred forty-nine billion, nine hundred twenty million, six hundred forty thousand, one".