10144332000 has 384 divisors, whose sum is σ = 40286937600. Its totient is φ = 2458944000.

The previous prime is 10144331993. The next prime is 10144332017. The reversal of 10144332000 is 23344101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1183731 + ... + 1192269.

It is an arithmetic number, because the mean of its divisors is an integer number (104913900).

Almost surely, 2^10144332000 is an apocalyptic number.

10144332000 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 10144332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143468800).

10144332000 is an abundant number, since it is smaller than the sum of its proper divisors (30142605600).

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

10144332000 is a wasteful number, since it uses less digits than its factorization.

10144332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10144332000 its reverse (23344101), we get a palindrome (10167676101).

The spelling of 10144332000 in words is "ten billion, one hundred forty-four million, three hundred thirty-two thousand".