254101531540040 has 64 divisors (see below), whose sum is σ = 605783157922800. Its totient is φ = 95594809540608.

The previous prime is 254101531540001. The next prime is 254101531540067. The reversal of 254101531540040 is 40045135101452.

It is a happy number.

254101531540040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 91937759742724 + 162163771797316 = 9588418^2 + 12734354^2 .

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, 129776609 + ... + 131720048.

Almost surely, 2^{254101531540040} is an apocalyptic number.

254101531540040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254101531540040 is an abundant number, since it is smaller than the sum of its proper divisors (351681626382760).

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

254101531540040 is a wasteful number, since it uses less digits than its factorization.

254101531540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261498114 (or 261498110 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 254101531540040 its reverse (40045135101452), we get a palindrome (294146666641492).

The spelling of 254101531540040 in words is "two hundred fifty-four trillion, one hundred one billion, five hundred thirty-one million, five hundred forty thousand, forty".