24133142000 has 160 divisors (see below), whose sum is σ = 64295045568. Its totient is φ = 8688000000.

The previous prime is 24133141969. The next prime is 24133142009. The reversal of 24133142000 is 24133142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24133142009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216570 + ... + 2227430.

Almost surely, 2^24133142000 is an apocalyptic number.

24133142000 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 24133142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32147522784).

24133142000 is an abundant number, since it is smaller than the sum of its proper divisors (40161903568).

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

24133142000 is a wasteful number, since it uses less digits than its factorization.

24133142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10996 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 24133142000 its reverse (24133142), we get a palindrome (24157275142).

24133142000 divided by its reverse (24133142) gives a cube (1000 = 10³).

It can be divided in two parts, 2413 and 3142000, that added together give a palindrome (3144413).

The spelling of 24133142000 in words is "twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand".