459339221040 has 320 divisors, whose sum is σ = 1699223242752. Its totient is φ = 100362240000.

The previous prime is 459339220997. The next prime is 459339221051. The reversal of 459339221040 is 40122933954.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 459339220983 and 459339221001.

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, 83498290 + ... + 83503790.

Almost surely, 2^459339221040 is an apocalyptic number.

459339221040 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 459339221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849611621376).

459339221040 is an abundant number, since it is smaller than the sum of its proper divisors (1239884021712).

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

459339221040 is a wasteful number, since it uses less digits than its factorization.

459339221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 459339221040 in words is "four hundred fifty-nine billion, three hundred thirty-nine million, two hundred twenty-one thousand, forty".