14142242400 has 576 divisors, whose sum is σ = 54806492160. Its totient is φ = 3122380800.

The previous prime is 14142242383. The next prime is 14142242459. The reversal of 14142242400 is 424224141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30544569 + ... + 30545031.

It is an arithmetic number, because the mean of its divisors is an integer number (95150160).

Almost surely, 2^14142242400 is an apocalyptic number.

14142242400 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 14142242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403246080).

14142242400 is an abundant number, since it is smaller than the sum of its proper divisors (40664249760).

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

14142242400 is a wasteful number, since it uses less digits than its factorization.

14142242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14142242400 its reverse (424224141), we get a palindrome (14566466541).

The spelling of 14142242400 in words is "fourteen billion, one hundred forty-two million, two hundred forty-two thousand, four hundred".