254333042455040 has 80 divisors (see below), whose sum is σ = 609821979877440. Its totient is φ = 101730085416960.

The previous prime is 254333042455033. The next prime is 254333042455061. The reversal of 254333042455040 is 40554240333452.

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 = 254333042454982 and 254333042455000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82555175 + ... + 85580505.

It is an arithmetic number, because the mean of its divisors is an integer number (7622774748468).

Almost surely, 2^{254333042455040} is an apocalyptic number.

254333042455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254333042455040 is an abundant number, since it is smaller than the sum of its proper divisors (355488937422400).

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

254333042455040 is an equidigital number, since it uses as much as digits as its factorization.

254333042455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058193 (or 3058177 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 44.

Adding to 254333042455040 its reverse (40554240333452), we get a palindrome (294887282788492).

The spelling of 254333042455040 in words is "two hundred fifty-four trillion, three hundred thirty-three billion, forty-two million, four hundred fifty-five thousand, forty".