254440120000 has 280 divisors, whose sum is σ = 706933521360. Its totient is φ = 90017280000.

The previous prime is 254440119991. The next prime is 254440120001. The reversal of 254440120000 is 21044452.

It is a happy number.

254440120000 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 2×254440120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (254440120001) 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 39 ways as a sum of consecutive naturals, for example, 16272186 + ... + 16287814.

Almost surely, 2^254440120000 is an apocalyptic number.

254440120000 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 254440120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353466760680).

254440120000 is an abundant number, since it is smaller than the sum of its proper divisors (452493401360).

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

254440120000 is a wasteful number, since it uses less digits than its factorization.

254440120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709 (or 15684 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 254440120000 its reverse (21044452), we get a palindrome (254461164452).

The spelling of 254440120000 in words is "two hundred fifty-four billion, four hundred forty million, one hundred twenty thousand".