4021625149201 has 9 divisors (see below), whose sum is σ = 4420488254203. Its totient is φ = 3656002808920.

The previous prime is 4021625149121. The next prime is 4021625149219. The reversal of 4021625149201 is 1029415261204.

The square root of 4021625149201 is 2005399.

It is a perfect power (a square), and thus also a powerful number.

4021625149201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3657461177601 + 364163971600 = 1912449^2 + 603460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4021625149201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4021625149231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21968235 + ... + 22150543.

Almost surely, 2^{4021625149201} is an apocalyptic number.

4021625149201 is the 2005399-th square number.

4021625149201 is the 1002700-th centered octagonal number.

It is an amenable number.

4021625149201 is a deficient number, since it is larger than the sum of its proper divisors (398863105002).

4021625149201 is an frugal number, since it uses more digits than its factorization.

4021625149201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364640 (or 182320 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 4021625149201 in words is "four trillion, twenty-one billion, six hundred twenty-five million, one hundred forty-nine thousand, two hundred one".