254401240142544 has 80 divisors (see below), whose sum is σ = 716994095482560. Its totient is φ = 77086430484480.

The previous prime is 254401240142509. The next prime is 254401240142561. The reversal of 254401240142544 is 445241042104452.

It is a junction number, because it is equal to n+sod(n) for n = 254401240142496 and 254401240142505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6772687 + ... + 23551470.

It is an arithmetic number, because the mean of its divisors is an integer number (8962426193532).

Almost surely, 2^{254401240142544} is an apocalyptic number.

254401240142544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254401240142544 is an abundant number, since it is smaller than the sum of its proper divisors (462592855340016).

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

254401240142544 is a wasteful number, since it uses less digits than its factorization.

254401240142544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30340068 (or 30340062 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

Adding to 254401240142544 its reverse (445241042104452), we get a palindrome (699642282246996).

The spelling of 254401240142544 in words is "two hundred fifty-four trillion, four hundred one billion, two hundred forty million, one hundred forty-two thousand, five hundred forty-four".