459036457668240 has 320 divisors, whose sum is σ = 1543581676949760. Its totient is φ = 112390960250880.

The previous prime is 459036457668233. The next prime is 459036457668251. The reversal of 459036457668240 is 42866754630954.

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, 2472138282 + ... + 2472323958.

It is an arithmetic number, because the mean of its divisors is an integer number (4823692740468).

Almost surely, 2^{459036457668240} is an apocalyptic number.

459036457668240 is a gapful number since it is divisible by the number (40) 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 459036457668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771790838474880).

459036457668240 is an abundant number, since it is smaller than the sum of its proper divisors (1084545219281520).

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

459036457668240 is a wasteful number, since it uses less digits than its factorization.

459036457668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200530 (or 200524 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 69.

The spelling of 459036457668240 in words is "four hundred fifty-nine trillion, thirty-six billion, four hundred fifty-seven million, six hundred sixty-eight thousand, two hundred forty".