253140224040 has 192 divisors, whose sum is σ = 897757810560. Its totient is φ = 61349506560.

The previous prime is 253140224009. The next prime is 253140224063. The reversal of 253140224040 is 40422041352.

253140224040 is a `hidden beast` number, since 253 + 1 + 4 + 0 + 2 + 2 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253140223995 and 253140224013.

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, 18078322 + ... + 18092318.

It is an arithmetic number, because the mean of its divisors is an integer number (4675821930).

Almost surely, 2^253140224040 is an apocalyptic number.

253140224040 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 253140224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448878905280).

253140224040 is an abundant number, since it is smaller than the sum of its proper divisors (644617586520).

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

253140224040 is a wasteful number, since it uses less digits than its factorization.

253140224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18592 (or 18585 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 253140224040 its reverse (40422041352), we get a palindrome (293562265392).

The spelling of 253140224040 in words is "two hundred fifty-three billion, one hundred forty million, two hundred twenty-four thousand, forty".