24142111400 has 192 divisors, whose sum is σ = 67073832000. Its totient is φ = 7977267200.

The previous prime is 24142111381. The next prime is 24142111423. The reversal of 24142111400 is 411124142.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073471 + ... + 1095729.

It is an arithmetic number, because the mean of its divisors is an integer number (349342875).

Almost surely, 2^24142111400 is an apocalyptic number.

24142111400 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 24142111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33536916000).

24142111400 is an abundant number, since it is smaller than the sum of its proper divisors (42931720600).

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

24142111400 is a wasteful number, since it uses less digits than its factorization.

24142111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22332 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 24142111400 its reverse (411124142), we get a palindrome (24553235542).

The spelling of 24142111400 in words is "twenty-four billion, one hundred forty-two million, one hundred eleven thousand, four hundred".