253440304128 has 792 divisors, whose sum is σ = 882975333240. Its totient is φ = 69638553600.

The previous prime is 253440304127. The next prime is 253440304129. The reversal of 253440304128 is 821403044352.

253440304128 is a `hidden beast` number, since 2 + 5 + 344 + 0 + 304 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (253440304127) and next prime (253440304129).

It can be written as a sum of positive squares in 4 ways, for example, as 50118672384 + 203321631744 = 223872^2 + 450912^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253440304092 and 253440304101.

It is not an unprimeable number, because it can be changed into a prime (253440304127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 549761818 + ... + 549762278.

It is an arithmetic number, because the mean of its divisors is an integer number (1114867845).

Almost surely, 2^253440304128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253440304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441487666620).

253440304128 is an abundant number, since it is smaller than the sum of its proper divisors (629535029112).

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

253440304128 is a wasteful number, since it uses less digits than its factorization.

253440304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 253440304128 in words is "two hundred fifty-three billion, four hundred forty million, three hundred four thousand, one hundred twenty-eight".