254134430513040 has 960 divisors, whose sum is σ = 998873104029696. Its totient is φ = 51925923840000.

The previous prime is 254134430513017. The next prime is 254134430513077. The reversal of 254134430513040 is 40315034431452.

It is a super-2 number, since 2×254134430513040² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254134430513040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37356226279 + ... + 37356233081.

Almost surely, 2^{254134430513040} is an apocalyptic number.

254134430513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254134430513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499436552014848).

254134430513040 is an abundant number, since it is smaller than the sum of its proper divisors (744738673516656).

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

254134430513040 is a wasteful number, since it uses less digits than its factorization.

254134430513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7303 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 254134430513040 its reverse (40315034431452), we get a palindrome (294449464944492).

The spelling of 254134430513040 in words is "two hundred fifty-four trillion, one hundred thirty-four billion, four hundred thirty million, five hundred thirteen thousand, forty".