40193721630721 has 8 divisors (see below), whose sum is σ = 42561699271560. Its totient is φ = 37826148553728.

The previous prime is 40193721630709. The next prime is 40193721630793. The reversal of 40193721630721 is 12703612739104.

It can be written as a sum of positive squares in 4 ways, for example, as 36199475560000 + 3994246070721 = 6016600^2 + 1998561^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 40193721630721 - 2²⁹ = 40193184759809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40193721630701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100936396 + ... + 101333821.

It is an arithmetic number, because the mean of its divisors is an integer number (5320212408945).

It is a Proth number, since it is equal to 4791465 ⋅ 2²³ + 1 and 4791465 < 2²³.

Almost surely, 2^{40193721630721} is an apocalyptic number.

It is an amenable number.

40193721630721 is a deficient number, since it is larger than the sum of its proper divisors (2367977640839).

40193721630721 is a wasteful number, since it uses less digits than its factorization.

40193721630721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202281923.

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 40193721630721 in words is "forty trillion, one hundred ninety-three billion, seven hundred twenty-one million, six hundred thirty thousand, seven hundred twenty-one".