459141446400 has 1728 divisors, whose sum is σ = 1975740211200. Its totient is φ = 93206937600.

The previous prime is 459141446399. The next prime is 459141446437. The reversal of 459141446400 is 4644141954.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2653996714 + ... + 2653996886.

Almost surely, 2^459141446400 is an apocalyptic number.

459141446400 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 459141446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987870105600).

459141446400 is an abundant number, since it is smaller than the sum of its proper divisors (1516598764800).

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

459141446400 is a wasteful number, since it uses less digits than its factorization.

459141446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 459141446400 in words is "four hundred fifty-nine billion, one hundred forty-one million, four hundred forty-six thousand, four hundred".