40824968253 has 16 divisors (see below), whose sum is σ = 56167969536. Its totient is φ = 26358997760.

The previous prime is 40824968183. The next prime is 40824968287. The reversal of 40824968253 is 35286942804.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40824968253 - 2⁹ = 40824967741 is a prime.

It is a super-3 number, since 3×40824968253³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40824968196 and 40824968205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40824968953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194501 + ... + 1228202.

It is an arithmetic number, because the mean of its divisors is an integer number (3510498096).

Almost surely, 2^40824968253 is an apocalyptic number.

It is an amenable number.

40824968253 is a deficient number, since it is larger than the sum of its proper divisors (15343001283).

40824968253 is a wasteful number, since it uses less digits than its factorization.

40824968253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422884.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 40824968253 in words is "forty billion, eight hundred twenty-four million, nine hundred sixty-eight thousand, two hundred fifty-three".