253130421040 has 240 divisors, whose sum is σ = 727872931008. Its totient is φ = 81446356992.

The previous prime is 253130421029. The next prime is 253130421091. The reversal of 253130421040 is 40124031352.

It is a junction number, because it is equal to n+sod(n) for n = 253130420996 and 253130421014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4751994 + ... + 4804966.

Almost surely, 2^253130421040 is an apocalyptic number.

253130421040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253130421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363936465504).

253130421040 is an abundant number, since it is smaller than the sum of its proper divisors (474742509968).

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

253130421040 is a wasteful number, since it uses less digits than its factorization.

253130421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53076 (or 53063 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 253130421040 its reverse (40124031352), we get a palindrome (293254452392).

The spelling of 253130421040 in words is "two hundred fifty-three billion, one hundred thirty million, four hundred twenty-one thousand, forty".