459606551040 has 960 divisors, whose sum is σ = 2026895270400. Its totient is φ = 93615685632.

The previous prime is 459606551017. The next prime is 459606551057. The reversal of 459606551040 is 40155606954.

459606551040 is a `hidden beast` number, since 4 + 5 + 96 + 0 + 6 + 5 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×459606551040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60798781 + ... + 60806339.

It is an arithmetic number, because the mean of its divisors is an integer number (2111349240).

Almost surely, 2^459606551040 is an apocalyptic number.

459606551040 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 459606551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013447635200).

459606551040 is an abundant number, since it is smaller than the sum of its proper divisors (1567288719360).

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

459606551040 is a wasteful number, since it uses less digits than its factorization.

459606551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 459606551040 in words is "four hundred fifty-nine billion, six hundred six million, five hundred fifty-one thousand, forty".