253402030332440 has 192 divisors, whose sum is σ = 633927428971200. Its totient is φ = 91083951636480.

The previous prime is 253402030332431. The next prime is 253402030332533. The reversal of 253402030332440 is 44233030204352.

It is a self number, because there is not a number n which added to its sum of digits gives 253402030332440.

It is a congruent number.

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, 1489052237 + ... + 1489222403.

It is an arithmetic number, because the mean of its divisors is an integer number (3301705359225).

Almost surely, 2^{253402030332440} is an apocalyptic number.

253402030332440 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 253402030332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316963714485600).

253402030332440 is an abundant number, since it is smaller than the sum of its proper divisors (380525398638760).

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

253402030332440 is a wasteful number, since it uses less digits than its factorization.

253402030332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173746 (or 173731 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 253402030332440 its reverse (44233030204352), we get a palindrome (297635060536792).

The spelling of 253402030332440 in words is "two hundred fifty-three trillion, four hundred two billion, thirty million, three hundred thirty-two thousand, four hundred forty".