254363414640 has 160 divisors (see below), whose sum is σ = 814312452096. Its totient is φ = 65613987840.

The previous prime is 254363414633. The next prime is 254363414663. The reversal of 254363414640 is 46414363452.

It is a junction number, because it is equal to n+sod(n) for n = 254363414592 and 254363414601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21592432 + ... + 21604208.

Almost surely, 2^254363414640 is an apocalyptic number.

254363414640 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 254363414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407156226048).

254363414640 is an abundant number, since it is smaller than the sum of its proper divisors (559949037456).

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

254363414640 is a wasteful number, since it uses less digits than its factorization.

254363414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 254363414640 in words is "two hundred fifty-four billion, three hundred sixty-three million, four hundred fourteen thousand, six hundred forty".