254443013640 has 256 divisors, whose sum is σ = 906112512000. Its totient is φ = 63320590080.

The previous prime is 254443013623. The next prime is 254443013647. The reversal of 254443013640 is 46310344452.

254443013640 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 4 + 3 + 0 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 254443013595 and 254443013604.

It is not an unprimeable number, because it can be changed into a prime (254443013647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282305 + ... + 1467375.

It is an arithmetic number, because the mean of its divisors is an integer number (3539502000).

Almost surely, 2^254443013640 is an apocalyptic number.

254443013640 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 254443013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453056256000).

254443013640 is an abundant number, since it is smaller than the sum of its proper divisors (651669498360).

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

254443013640 is a wasteful number, since it uses less digits than its factorization.

254443013640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185177 (or 185167 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 254443013640 in words is "two hundred fifty-four billion, four hundred forty-three million, thirteen thousand, six hundred forty".