40521287401 has 27 divisors (see below), whose sum is σ = 47702644101. Its totient is φ = 34320674304.

The previous prime is 40521287399. The next prime is 40521287413. The reversal of 40521287401 is 10478212504.

The square root of 40521287401 is 201299.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17089025625 + 23432261776 = 130725^2 + 153076^2 .

It is not a de Polignac number, because 40521287401 - 2¹ = 40521287399 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40521287101) 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 26 ways as a sum of consecutive naturals, for example, 209954761 + ... + 209954953.

Almost surely, 2^40521287401 is an apocalyptic number.

40521287401 is the 201299-th square number.

40521287401 is the 100650-th centered octagonal number.

It is an amenable number.

40521287401 is a deficient number, since it is larger than the sum of its proper divisors (7181356700).

40521287401 is an frugal number, since it uses more digits than its factorization.

40521287401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

Adding to 40521287401 its reverse (10478212504), we get a palindrome (50999499905).

The spelling of 40521287401 in words is "forty billion, five hundred twenty-one million, two hundred eighty-seven thousand, four hundred one".