4142342400 has 864 divisors, whose sum is σ = 17336390400. Its totient is φ = 867041280.

The previous prime is 4142342341. The next prime is 4142342447. The reversal of 4142342400 is 42432414.

It is a happy number.

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

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, 111955182 + ... + 111955218.

Almost surely, 2^4142342400 is an apocalyptic number.

4142342400 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 4142342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668195200).

4142342400 is an abundant number, since it is smaller than the sum of its proper divisors (13194048000).

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

4142342400 is a wasteful number, since it uses less digits than its factorization.

4142342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4142342400 is about 64361.0316884371. The cubic root of 4142342400 is about 1606.0115516581.

Adding to 4142342400 its reverse (42432414), we get a palindrome (4184774814).

The spelling of 4142342400 in words is "four billion, one hundred forty-two million, three hundred forty-two thousand, four hundred".