10442358000 has 400 divisors, whose sum is σ = 38278564896. Its totient is φ = 2743372800.

The previous prime is 10442357977. The next prime is 10442358011. The reversal of 10442358000 is 85324401.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11825559 + ... + 11826441.

Almost surely, 2^10442358000 is an apocalyptic number.

10442358000 is a gapful number since it is divisible by the number (10) 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 10442358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139282448).

10442358000 is an abundant number, since it is smaller than the sum of its proper divisors (27836206896).

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

10442358000 is an equidigital number, since it uses as much as digits as its factorization.

10442358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10442358000 in words is "ten billion, four hundred forty-two million, three hundred fifty-eight thousand".