253403541022400 has 42 divisors (see below), whose sum is σ = 623531088132180. Its totient is φ = 101361416408320.

The previous prime is 253403541022391. The next prime is 253403541022451. The reversal of 253403541022400 is 4220145304352.

It is a happy number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 79188604970 + ... + 79188608169.

Almost surely, 2^{253403541022400} is an apocalyptic number.

253403541022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253403541022400 is an abundant number, since it is smaller than the sum of its proper divisors (370127547109780).

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

253403541022400 is a wasteful number, since it uses less digits than its factorization.

253403541022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158377213161 (or 158377213146 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 253403541022400 its reverse (4220145304352), we get a palindrome (257623686326752).

The spelling of 253403541022400 in words is "two hundred fifty-three trillion, four hundred three billion, five hundred forty-one million, twenty-two thousand, four hundred".