40818141225 has 27 divisors (see below), whose sum is σ = 73115254693. Its totient is φ = 21768059040.

The previous prime is 40818141191. The next prime is 40818141281. The reversal of 40818141225 is 52214181804.

The square root of 40818141225 is 202035.

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

40818141225 is a `hidden beast` number, since 40 + 8 + 181 + 412 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1212201 + 40816929024 = 1101^2 + 202032^2 .

It is not a de Polignac number, because 40818141225 - 2²⁵ = 40784586793 is a prime.

It is a super-2 number, since 2×40818141225² (a number of 22 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 40818141225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3023791 + ... + 3037259.

Almost surely, 2^40818141225 is an apocalyptic number.

40818141225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40818141225 is the 202035-th square number.

40818141225 is the 101018-th centered octagonal number.

It is an amenable number.

40818141225 is a deficient number, since it is larger than the sum of its proper divisors (32297113468).

40818141225 is an frugal number, since it uses more digits than its factorization.

40818141225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26954 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 40818141225 by its sum of digits (36), we get a square (1469453084100 = 1212210²).

The spelling of 40818141225 in words is "forty billion, eight hundred eighteen million, one hundred forty-one thousand, two hundred twenty-five".