254555438130 has 320 divisors, whose sum is σ = 804059612928. Its totient is φ = 56574443520.

The previous prime is 254555438057. The next prime is 254555438147. The reversal of 254555438130 is 31834555452.

It is a happy number.

254555438130 is a `hidden beast` number, since 2 + 54 + 5 + 554 + 38 + 13 + 0 = 666.

It is a super-4 number, since 4×254555438130⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56805490 + ... + 56809970.

Almost surely, 2^254555438130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254555438130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402029806464).

254555438130 is an abundant number, since it is smaller than the sum of its proper divisors (549504174798).

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

254555438130 is a wasteful number, since it uses less digits than its factorization.

254555438130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 254555438130 in words is "two hundred fifty-four billion, five hundred fifty-five million, four hundred thirty-eight thousand, one hundred thirty".