40288919841 has 27 divisors (see below), whose sum is σ = 60856258099. Its totient is φ = 25682653392.

The previous prime is 40288919831. The next prime is 40288919851. The reversal of 40288919841 is 14891988204.

It is a happy number.

The square root of 40288919841 is 200721.

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

40288919841 is a `hidden beast` number, since 402 + 8 + 8 + 9 + 198 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (40288919831) and next prime (40288919851).

It can be written as a sum of positive squares in only one way, i.e., 34939460241 + 5349459600 = 186921^2 + 73140^2 .

It is not a de Polignac number, because 40288919841 - 2⁵ = 40288919809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40288919831) 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, 13848295 + ... + 13851203.

Almost surely, 2^40288919841 is an apocalyptic number.

40288919841 is the 200721-st square number.

40288919841 is the 100361-st centered octagonal number.

It is an amenable number.

40288919841 is a deficient number, since it is larger than the sum of its proper divisors (20567338258).

40288919841 is an frugal number, since it uses more digits than its factorization.

40288919841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 40288919841 in words is "forty billion, two hundred eighty-eight million, nine hundred nineteen thousand, eight hundred forty-one".