40521487191201 has 27 divisors (see below), whose sum is σ = 58707083683027. Its totient is φ = 26933315544960.

The previous prime is 40521487191151. The next prime is 40521487191259. The reversal of 40521487191201 is 10219178412504.

It is a happy number.

The square root of 40521487191201 is 6365649.

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

40521487191201 is a `hidden beast` number, since 4 + 0 + 521 + 48 + 71 + 9 + 12 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16462697630625 + 24058789560576 = 4057425^2 + 4904976^2 .

It is not a de Polignac number, because 40521487191201 - 2⁹ = 40521487190689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40521487171201) 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, 6741219286 + ... + 6741225296.

Almost surely, 2^{40521487191201} is an apocalyptic number.

40521487191201 is the 6365649-th square number.

40521487191201 is the 3182825-th centered octagonal number.

It is an amenable number.

40521487191201 is a deficient number, since it is larger than the sum of its proper divisors (18185596491826).

40521487191201 is an frugal number, since it uses more digits than its factorization.

40521487191201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 40521487191201 in words is "forty trillion, five hundred twenty-one billion, four hundred eighty-seven million, one hundred ninety-one thousand, two hundred one".