451882242000 has 960 divisors, whose sum is σ = 1893644513280. Its totient is φ = 98195328000.

The previous prime is 451882241981. The next prime is 451882242011. The reversal of 451882242000 is 242288154.

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

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, 611477631 + ... + 611478369.

It is an arithmetic number, because the mean of its divisors is an integer number (1972546368).

Almost surely, 2^451882242000 is an apocalyptic number.

451882242000 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 451882242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946822256640).

451882242000 is an abundant number, since it is smaller than the sum of its proper divisors (1441762271280).

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

451882242000 is a wasteful number, since it uses less digits than its factorization.

451882242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 451882242000 in words is "four hundred fifty-one billion, eight hundred eighty-two million, two hundred forty-two thousand".