459732049920000 has 8160 divisors, whose sum is σ = 2253568756158720. Its totient is φ = 91729428480000.

The previous prime is 459732049919971. The next prime is 459732049920047. The reversal of 459732049920000 is 29940237954.

459732049920000 is a `hidden beast` number, since 4 + 597 + 3 + 2 + 0 + 49 + 9 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8160).

It is a super-2 number, since 2×459732049920000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24196423679991 + ... + 24196423680009.

Almost surely, 2^{459732049920000} is an apocalyptic number.

459732049920000 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 459732049920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126784378079360).

459732049920000 is an abundant number, since it is smaller than the sum of its proper divisors (1793836706238720).

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

459732049920000 is an equidigital number, since it uses as much as digits as its factorization.

459732049920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 459732049920000 in words is "four hundred fifty-nine trillion, seven hundred thirty-two billion, forty-nine million, nine hundred twenty thousand".