10144433532000 has 384 divisors, whose sum is σ = 33343406853120. Its totient is φ = 2696227430400.

The previous prime is 10144433531959. The next prime is 10144433532019. The reversal of 10144433532000 is 23533444101.

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, 7785443349 + ... + 7785444651.

It is an arithmetic number, because the mean of its divisors is an integer number (86831788680).

Almost surely, 2^{10144433532000} is an apocalyptic number.

10144433532000 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 10144433532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671703426560).

10144433532000 is an abundant number, since it is smaller than the sum of its proper divisors (23198973321120).

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

10144433532000 is a wasteful number, since it uses less digits than its factorization.

10144433532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10144433532000 its reverse (23533444101), we get a palindrome (10167966976101).

The spelling of 10144433532000 in words is "ten trillion, one hundred forty-four billion, four hundred thirty-three million, five hundred thirty-two thousand".