450200351040000 has 800 divisors, whose sum is σ = 1644110919095040. Its totient is φ = 108529305600000.

The previous prime is 450200351039993. The next prime is 450200351040007. The reversal of 450200351040000 is 40153002054.

It is an interprime number because it is at equal distance from previous prime (450200351039993) and next prime (450200351040007).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (450200351040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1890120915 + ... + 1890359085.

Almost surely, 2^{450200351040000} is an apocalyptic number.

450200351040000 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 450200351040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822055459547520).

450200351040000 is an abundant number, since it is smaller than the sum of its proper divisors (1193910568055040).

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

450200351040000 is a wasteful number, since it uses less digits than its factorization.

450200351040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238402 (or 238371 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 450200351040000 in words is "four hundred fifty trillion, two hundred billion, three hundred fifty-one million, forty thousand".