4142110400 has 42 divisors (see below), whose sum is σ = 10192184340. Its totient is φ = 1656843520.

The previous prime is 4142110369. The next prime is 4142110421. The reversal of 4142110400 is 40112414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1292810 + ... + 1296009.

Almost surely, 2^4142110400 is an apocalyptic number.

4142110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142110400 is an abundant number, since it is smaller than the sum of its proper divisors (6050073940).

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

4142110400 is a wasteful number, since it uses less digits than its factorization.

4142110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588841 (or 2588826 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4142110400 is about 64359.2293303765. The cubic root of 4142110400 is about 1605.9815684907.

Adding to 4142110400 its reverse (40112414), we get a palindrome (4182222814).

The spelling of 4142110400 in words is "four billion, one hundred forty-two million, one hundred ten thousand, four hundred".