253252411430400 has 360 divisors, whose sum is σ = 907154702323584. Its totient is φ = 67471814246400.

The previous prime is 253252411430383. The next prime is 253252411430407. The reversal of 253252411430400 is 4034114252352.

It is a happy number.

253252411430400 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 5 + 241 + 1 + 4 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253252411430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124211190 + ... + 126233610.

Almost surely, 2^{253252411430400} is an apocalyptic number.

253252411430400 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 253252411430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453577351161792).

253252411430400 is an abundant number, since it is smaller than the sum of its proper divisors (653902290893184).

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

253252411430400 is a wasteful number, since it uses less digits than its factorization.

253252411430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023542 (or 2023518 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 253252411430400 its reverse (4034114252352), we get a palindrome (257286525682752).

The spelling of 253252411430400 in words is "two hundred fifty-three trillion, two hundred fifty-two billion, four hundred eleven million, four hundred thirty thousand, four hundred".