24142413000 has 128 divisors (see below), whose sum is σ = 77922000000. Its totient is φ = 6215955200.

The previous prime is 24142412989. The next prime is 24142413007. The reversal of 24142413000 is 31424142.

It is a super-2 number, since 2×24142413000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24142413007) 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, 51750 + ... + 225749.

It is an arithmetic number, because the mean of its divisors is an integer number (608765625).

Almost surely, 2^24142413000 is an apocalyptic number.

24142413000 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 24142413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38961000000).

24142413000 is an abundant number, since it is smaller than the sum of its proper divisors (53779587000).

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

24142413000 is a wasteful number, since it uses less digits than its factorization.

24142413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277552 (or 277538 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 24142413000 its reverse (31424142), we get a palindrome (24173837142).

The spelling of 24142413000 in words is "twenty-four billion, one hundred forty-two million, four hundred thirteen thousand".