254123222250400 has 144 divisors (see below), whose sum is σ = 640440037214208. Its totient is φ = 98362673280000.

The previous prime is 254123222250353. The next prime is 254123222250407. The reversal of 254123222250400 is 4052222321452.

254123222250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254123222250400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254123222250407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325755214 + ... + 326534386.

It is an arithmetic number, because the mean of its divisors is an integer number (4447500258432).

Almost surely, 2^{254123222250400} is an apocalyptic number.

254123222250400 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 254123222250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320220018607104).

254123222250400 is an abundant number, since it is smaller than the sum of its proper divisors (386316814963808).

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

254123222250400 is a wasteful number, since it uses less digits than its factorization.

254123222250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792375 (or 792362 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 254123222250400 its reverse (4052222321452), we get a palindrome (258175444571852).

The spelling of 254123222250400 in words is "two hundred fifty-four trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred fifty thousand, four hundred".