1041626401201 has 9 divisors (see below), whose sum is σ = 1055060113401. Its totient is φ = 1028361650004.

The previous prime is 1041626401187. The next prime is 1041626401237. The reversal of 1041626401201 is 1021046261401.

The square root of 1041626401201 is 1020601.

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

It is not a de Polignac number, because 1041626401201 - 2⁷ = 1041626401073 is a prime.

It is a super-2 number, since 2×1041626401201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1041626401201.

It is not an unprimeable number, because it can be changed into a prime (1041626401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80621020 + ... + 80633938.

It is an arithmetic number, because the mean of its divisors is an integer number (117228901489).

Almost surely, 2^{1041626401201} is an apocalyptic number.

1041626401201 is the 1020601-st square number.

1041626401201 is the 510301-st centered octagonal number.

It is an amenable number.

1041626401201 is a deficient number, since it is larger than the sum of its proper divisors (13433712200).

1041626401201 is an frugal number, since it uses more digits than its factorization.

1041626401201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25996 (or 12998 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 1041626401201 in words is "one trillion, forty-one billion, six hundred twenty-six million, four hundred one thousand, two hundred one".