4202342400 has 288 divisors, whose sum is σ = 14075661600. Its totient is φ = 1105920000.

The previous prime is 4202342383. The next prime is 4202342401. The reversal of 4202342400 is 42432024.

It is not an unprimeable number, because it can be changed into a prime (4202342401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16742275 + ... + 16742525.

It is an arithmetic number, because the mean of its divisors is an integer number (48873825).

Almost surely, 2^4202342400 is an apocalyptic number.

4202342400 is a gapful number since it is divisible by the number (40) 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 4202342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037830800).

4202342400 is an abundant number, since it is smaller than the sum of its proper divisors (9873319200).

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

4202342400 is a wasteful number, since it uses less digits than its factorization.

4202342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4202342400 is about 64825.4764733743. The cubic root of 4202342400 is about 1613.7285343491.

Adding to 4202342400 its reverse (42432024), we get a palindrome (4244774424).

The spelling of 4202342400 in words is "four billion, two hundred two million, three hundred forty-two thousand, four hundred".