254052554424440 has 128 divisors (see below), whose sum is σ = 606778338600000. Its totient is φ = 95400873689088.

The previous prime is 254052554424439. The next prime is 254052554424497. The reversal of 254052554424440 is 44424455250452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640777304 + ... + 641173656.

Almost surely, 2^{254052554424440} is an apocalyptic number.

254052554424440 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 254052554424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303389169300000).

254052554424440 is an abundant number, since it is smaller than the sum of its proper divisors (352725784175560).

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

254052554424440 is a wasteful number, since it uses less digits than its factorization.

254052554424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398769 (or 398765 counting only the distinct ones).

The product of its (nonzero) digits is 20480000, while the sum is 50.

The spelling of 254052554424440 in words is "two hundred fifty-four trillion, fifty-two billion, five hundred fifty-four million, four hundred twenty-four thousand, four hundred forty".