4414087625201 has 16 divisors (see below), whose sum is σ = 4516270940160. Its totient is φ = 4312251848400.

The previous prime is 4414087625039. The next prime is 4414087625231. The reversal of 4414087625201 is 1025267804144.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4414087625201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4414087625231) 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, 160201376 + ... + 160228926.

It is an arithmetic number, because the mean of its divisors is an integer number (282266933760).

Almost surely, 2^{4414087625201} is an apocalyptic number.

It is an amenable number.

4414087625201 is a deficient number, since it is larger than the sum of its proper divisors (102183314959).

4414087625201 is a wasteful number, since it uses less digits than its factorization.

4414087625201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33724.

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 4414087625201 in words is "four trillion, four hundred fourteen billion, eighty-seven million, six hundred twenty-five thousand, two hundred one".