254376043440 has 80 divisors (see below), whose sum is σ = 789072710400. Its totient is φ = 67790000896.

The previous prime is 254376043429. The next prime is 254376043457. The reversal of 254376043440 is 44340673452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 254376043392 and 254376043401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34231 + ... + 714089.

It is an arithmetic number, because the mean of its divisors is an integer number (9863408880).

Almost surely, 2^254376043440 is an apocalyptic number.

254376043440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254376043440 is an abundant number, since it is smaller than the sum of its proper divisors (534696666960).

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

254376043440 is a wasteful number, since it uses less digits than its factorization.

254376043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681434 (or 681428 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 254376043440 in words is "two hundred fifty-four billion, three hundred seventy-six million, forty-three thousand, four hundred forty".