40421252088441 has 81 divisors (see below), whose sum is σ = 70533667280271. Its totient is φ = 23095798418448.

The previous prime is 40421252088433. The next prime is 40421252088463. The reversal of 40421252088441 is 14488025212404.

The square root of 40421252088441 is 6357771.

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

40421252088441 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 1 + 2 + 520 + 8 + 84 + 41 = 666.

40421252088441 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., 1605909890025 + 38815342198416 = 1267245^2 + 6230196^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 40421252088441 - 2³ = 40421252088433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40421252088401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3604850551 + ... + 3604861763.

Almost surely, 2^{40421252088441} is an apocalyptic number.

40421252088441 is the 6357771-st square number.

40421252088441 is the 3178886-th centered octagonal number.

It is an amenable number.

40421252088441 is a deficient number, since it is larger than the sum of its proper divisors (30112415191830).

40421252088441 is an frugal number, since it uses more digits than its factorization.

40421252088441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 40421252088441 in words is "forty trillion, four hundred twenty-one billion, two hundred fifty-two million, eighty-eight thousand, four hundred forty-one".