24444142000 has 80 divisors (see below), whose sum is σ = 59320658592. Its totient is φ = 9742137600.

The previous prime is 24444141989. The next prime is 24444142013. The reversal of 24444142000 is 24144442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531939 + ... + 576061.

Almost surely, 2^24444142000 is an apocalyptic number.

24444142000 is a gapful number since it is divisible by the number (20) 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 24444142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29660329296).

24444142000 is an abundant number, since it is smaller than the sum of its proper divisors (34876516592).

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

24444142000 is a wasteful number, since it uses less digits than its factorization.

24444142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44423 (or 44407 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 24444142000 its reverse (24144442), we get a palindrome (24468286442).

The spelling of 24444142000 in words is "twenty-four billion, four hundred forty-four million, one hundred forty-two thousand".