253504315210440 has 128 divisors (see below), whose sum is σ = 906947115356160. Its totient is φ = 55424545929984.

The previous prime is 253504315210403. The next prime is 253504315210459. The reversal of 253504315210440 is 44012513405352.

It is a super-2 number, since 2×253504315210440² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6560651364 + ... + 6560690003.

It is an arithmetic number, because the mean of its divisors is an integer number (7085524338720).

Almost surely, 2^{253504315210440} is an apocalyptic number.

253504315210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253504315210440 is an abundant number, since it is smaller than the sum of its proper divisors (653442800145720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253504315210440 is a wasteful number, since it uses less digits than its factorization.

253504315210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121341411 (or 13121341407 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 253504315210440 its reverse (44012513405352), we get a palindrome (297516828615792).

The spelling of 253504315210440 in words is "two hundred fifty-three trillion, five hundred four billion, three hundred fifteen million, two hundred ten thousand, four hundred forty".