459252041955840 has 720 divisors, whose sum is σ = 1850582407145472. Its totient is φ = 104949947547648.

The previous prime is 459252041955829. The next prime is 459252041955853. The reversal of 459252041955840 is 48559140252954.

It is a happy number.

459252041955840 is a `hidden beast` number, since 4 + 5 + 9 + 2 + 5 + 2 + 0 + 41 + 9 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5742979537 + ... + 5743059503.

Almost surely, 2^{459252041955840} is an apocalyptic number.

459252041955840 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 459252041955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925291203572736).

459252041955840 is an abundant number, since it is smaller than the sum of its proper divisors (1391330365189632).

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

459252041955840 is a wasteful number, since it uses less digits than its factorization.

459252041955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85097 (or 85071 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 459252041955840 in words is "four hundred fifty-nine trillion, two hundred fifty-two billion, forty-one million, nine hundred fifty-five thousand, eight hundred forty".