450141916320 has 144 divisors (see below), whose sum is σ = 1543829414400. Its totient is φ = 119434563072.

The previous prime is 450141916319. The next prime is 450141916351. The reversal of 450141916320 is 23619141054.

It is a happy number.

450141916320 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 4 + 19 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498864 + ... + 1071983.

It is an arithmetic number, because the mean of its divisors is an integer number (10721037600).

Almost surely, 2^450141916320 is an apocalyptic number.

450141916320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450141916320 is an abundant number, since it is smaller than the sum of its proper divisors (1093687498080).

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

450141916320 is a wasteful number, since it uses less digits than its factorization.

450141916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571067 (or 1571056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 450141916320 in words is "four hundred fifty billion, one hundred forty-one million, nine hundred sixteen thousand, three hundred twenty".