4142144412400 has 30 divisors (see below), whose sum is σ = 9951501951752. Its totient is φ = 1656857764800.

The previous prime is 4142144412397. The next prime is 4142144412401. The reversal of 4142144412400 is 42144412414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142144412401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5177680116 + ... + 5177680915.

Almost surely, 2^{4142144412400} is an apocalyptic number.

4142144412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142144412400 is an abundant number, since it is smaller than the sum of its proper divisors (5809357539352).

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

4142144412400 is a wasteful number, since it uses less digits than its factorization.

4142144412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355361049 (or 10355361038 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 4142144412400 its reverse (42144412414), we get a palindrome (4184288824814).

The spelling of 4142144412400 in words is "four trillion, one hundred forty-two billion, one hundred forty-four million, four hundred twelve thousand, four hundred".