40201521201 has 24 divisors (see below), whose sum is σ = 58338320040. Its totient is φ = 26676877056.

The previous prime is 40201521133. The next prime is 40201521223. The reversal of 40201521201 is 10212510204.

It can be written as a sum of positive squares in 4 ways, for example, as 35999370225 + 4202150976 = 189735^2 + 64824^2 .

It is not a de Polignac number, because 40201521201 - 2³⁵ = 5841782833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40201521271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2251015 + ... + 2268803.

It is an arithmetic number, because the mean of its divisors is an integer number (2430763335).

Almost surely, 2^40201521201 is an apocalyptic number.

It is an amenable number.

40201521201 is a deficient number, since it is larger than the sum of its proper divisors (18136798839).

40201521201 is a wasteful number, since it uses less digits than its factorization.

40201521201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18945 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 40201521201 in words is "forty billion, two hundred one million, five hundred twenty-one thousand, two hundred one".