10444302000 has 400 divisors, whose sum is σ = 41162213664. Its totient is φ = 2531520000.

The previous prime is 10444301983. The next prime is 10444302017. The reversal of 10444302000 is 20344401.

10444302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10444301983) and next prime (10444302017).

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1779070 + ... + 1784930.

Almost surely, 2^10444302000 is an apocalyptic number.

10444302000 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 10444302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20581106832).

10444302000 is an abundant number, since it is smaller than the sum of its proper divisors (30717911664).

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

10444302000 is a wasteful number, since it uses less digits than its factorization.

10444302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10444302000 its reverse (20344401), we get a palindrome (10464646401).

The spelling of 10444302000 in words is "ten billion, four hundred forty-four million, three hundred two thousand".