40587589563921 has 63 divisors (see below), whose sum is σ = 63620589363289. Its totient is φ = 25879418318952.

The previous prime is 40587589563889. The next prime is 40587589563947. The reversal of 40587589563921 is 12936598578504.

The square root of 40587589563921 is 6370839.

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

40587589563921 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 7 + 58 + 9 + 563 + 9 + 2 + 1 = 666.

It is not a de Polignac number, because 40587589563921 - 2⁵ = 40587589563889 is a prime.

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 40587589563921.

It is not an unprimeable number, because it can be changed into a prime (40587589463921) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3956285890 + ... + 3956296148.

It is a 1-persistent number, because it is pandigital, but 2⋅40587589563921 = 81175179127842 is not.

Almost surely, 2^{40587589563921} is an apocalyptic number.

40587589563921 is the 6370839-th square number.

40587589563921 is the 3185420-th centered octagonal number.

It is an amenable number.

40587589563921 is a deficient number, since it is larger than the sum of its proper divisors (23032999799368).

40587589563921 is an frugal number, since it uses more digits than its factorization.

40587589563921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 10285 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 40587589563921 in words is "forty trillion, five hundred eighty-seven billion, five hundred eighty-nine million, five hundred sixty-three thousand, nine hundred twenty-one".