442452054000 has 320 divisors, whose sum is σ = 1579385912832. Its totient is φ = 105659136000.

The previous prime is 442452053959. The next prime is 442452054029. The reversal of 442452054000 is 450254244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371972 + ... + 4472028.

Almost surely, 2^442452054000 is an apocalyptic number.

442452054000 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 442452054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789692956416).

442452054000 is an abundant number, since it is smaller than the sum of its proper divisors (1136933858832).

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

442452054000 is a wasteful number, since it uses less digits than its factorization.

442452054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100161 (or 100145 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 442452054000 in words is "four hundred forty-two billion, four hundred fifty-two million, fifty-four thousand".