254131340040 has 96 divisors (see below), whose sum is σ = 828007741080. Its totient is φ = 67597618176.

The previous prime is 254131340039. The next prime is 254131340041. The reversal of 254131340040 is 40043131452.

It is a happy number.

254131340040 is a `hidden beast` number, since 254 + 1 + 3 + 1 + 3 + 400 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (254131340039) and next prime (254131340041).

It can be written as a sum of positive squares in 4 ways, for example, as 215996280516 + 38135059524 = 464754^2 + 195282^2 .

It is a super-2 number, since 2×254131340040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254131339986 and 254131340013.

It is not an unprimeable number, because it can be changed into a prime (254131340041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746149 + ... + 1031988.

Almost surely, 2^254131340040 is an apocalyptic number.

254131340040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254131340040 is an abundant number, since it is smaller than the sum of its proper divisors (573876401040).

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

254131340040 is a wasteful number, since it uses less digits than its factorization.

254131340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778551 (or 1778544 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 254131340040 its reverse (40043131452), we get a palindrome (294174471492).

The spelling of 254131340040 in words is "two hundred fifty-four billion, one hundred thirty-one million, three hundred forty thousand, forty".