4142334424000 has 112 divisors (see below), whose sum is σ = 10287073517760. Its totient is φ = 1652317209600.

The previous prime is 4142334423989. The next prime is 4142334424037. The reversal of 4142334424000 is 4244332414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150842 + ... + 3593158.

Almost surely, 2^{4142334424000} is an apocalyptic number.

4142334424000 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 4142334424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143536758880).

4142334424000 is an abundant number, since it is smaller than the sum of its proper divisors (6144739093760).

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

4142334424000 is a wasteful number, since it uses less digits than its factorization.

4142334424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442703 (or 1442683 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4142334424000 its reverse (4244332414), we get a palindrome (4146578756414).

The spelling of 4142334424000 in words is "four trillion, one hundred forty-two billion, three hundred thirty-four million, four hundred twenty-four thousand".