254421041355040 has 384 divisors, whose sum is σ = 729213345197568. Its totient is φ = 81888133447680.

The previous prime is 254421041354981. The next prime is 254421041355053. The reversal of 254421041355040 is 40553140124452.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 254421041354984 and 254421041355002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32274642939 + ... + 32274650821.

It is an arithmetic number, because the mean of its divisors is an integer number (1898993086452).

Almost surely, 2^{254421041355040} is an apocalyptic number.

254421041355040 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 254421041355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364606672598784).

254421041355040 is an abundant number, since it is smaller than the sum of its proper divisors (474792303842528).

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

254421041355040 is a wasteful number, since it uses less digits than its factorization.

254421041355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12060 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 254421041355040 its reverse (40553140124452), we get a palindrome (294974181479492).

The spelling of 254421041355040 in words is "two hundred fifty-four trillion, four hundred twenty-one billion, forty-one million, three hundred fifty-five thousand, forty".