254352140215440 has 80 divisors (see below), whose sum is σ = 790312631837568. Its totient is φ = 67670592473088.

The previous prime is 254352140215337. The next prime is 254352140215447. The reversal of 254352140215440 is 44512041253452.

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

It is a super-2 number, since 2×254352140215440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254352140215392 and 254352140215401.

It is not an unprimeable number, because it can be changed into a prime (254352140215447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223684284 + ... + 1223892123.

Almost surely, 2^{254352140215440} is an apocalyptic number.

254352140215440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254352140215440 is an abundant number, since it is smaller than the sum of its proper divisors (535960491622128).

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

254352140215440 is a wasteful number, since it uses less digits than its factorization.

254352140215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447576856 (or 2447576850 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 254352140215440 its reverse (44512041253452), we get a palindrome (298864181468892).

The spelling of 254352140215440 in words is "two hundred fifty-four trillion, three hundred fifty-two billion, one hundred forty million, two hundred fifteen thousand, four hundred forty".