40251995641 has 81 divisors (see below), whose sum is σ = 50917163661. Its totient is φ = 31779633600.

The previous prime is 40251995611. The next prime is 40251995671. The reversal of 40251995641 is 14659915204.

The square root of 40251995641 is 200629.

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

It is an interprime number because it is at equal distance from previous prime (40251995611) and next prime (40251995671).

It can be written as a sum of positive squares in 4 ways, for example, as 28306380025 + 11945615616 = 168245^2 + 109296^2 .

It is not a de Polignac number, because 40251995641 - 2¹⁵ = 40251962873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40251995591 and 40251995600.

It is not an unprimeable number, because it can be changed into a prime (40251995611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 659868751 + ... + 659868811.

Almost surely, 2^40251995641 is an apocalyptic number.

40251995641 is the 200629-th square number.

40251995641 is the 100315-th centered octagonal number.

It is an amenable number.

40251995641 is a deficient number, since it is larger than the sum of its proper divisors (10665168020).

40251995641 is a wasteful number, since it uses less digits than its factorization.

40251995641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 40251995641 in words is "forty billion, two hundred fifty-one million, nine hundred ninety-five thousand, six hundred forty-one".