4081406022001 has 27 divisors (see below), whose sum is σ = 5218808971467. Its totient is φ = 3180195165840.

The previous prime is 4081406021999. The next prime is 4081406022037. The reversal of 4081406022001 is 1002206041804.

The square root of 4081406022001 is 2020249.

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

It can be written as a sum of positive squares in only one way, i.e., 554987750625 + 3526418271376 = 744975^2 + 1877876^2 .

It is not a de Polignac number, because 4081406022001 - 2¹ = 4081406021999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4081406022041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155546055 + ... + 155572291.

Almost surely, 2^{4081406022001} is an apocalyptic number.

4081406022001 is the 2020249-th square number.

4081406022001 is the 1010125-th centered octagonal number.

It is an amenable number.

4081406022001 is a deficient number, since it is larger than the sum of its proper divisors (1137402949466).

4081406022001 is an frugal number, since it uses more digits than its factorization.

4081406022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52510 (or 26255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 4081406022001 in words is "four trillion, eighty-one billion, four hundred six million, twenty-two thousand, one".