142412423311400 has 576 divisors, whose sum is σ = 398538795991680. Its totient is φ = 46840066099200.

The previous prime is 142412423311391. The next prime is 142412423311421. The reversal of 142412423311400 is 4113324214241.

It is a super-2 number, since 2×142412423311400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10174489202 + ... + 10174503198.

It is an arithmetic number, because the mean of its divisors is an integer number (691907631930).

Almost surely, 2^{142412423311400} is an apocalyptic number.

142412423311400 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 142412423311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199269397995840).

142412423311400 is an abundant number, since it is smaller than the sum of its proper divisors (256126372680280).

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

142412423311400 is a wasteful number, since it uses less digits than its factorization.

142412423311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14642 (or 14614 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142412423311400 its reverse (4113324214241), we get a palindrome (146525747525641).

The spelling of 142412423311400 in words is "one hundred forty-two trillion, four hundred twelve billion, four hundred twenty-three million, three hundred eleven thousand, four hundred".