2404142342000 has 160 divisors (see below), whose sum is σ = 6647414252544. Its totient is φ = 823813536000.

The previous prime is 2404142341927. The next prime is 2404142342003. The reversal of 2404142342000 is 2432414042.

It is a happy number.

2404142342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404142342003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25306589 + ... + 25401411.

Almost surely, 2^{2404142342000} is an apocalyptic number.

2404142342000 is a gapful number since it is divisible by the number (20) 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 2404142342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323707126272).

2404142342000 is an abundant number, since it is smaller than the sum of its proper divisors (4243271910544).

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

2404142342000 is a wasteful number, since it uses less digits than its factorization.

2404142342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96664 (or 96648 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2404142342000 its reverse (2432414042), we get a palindrome (2406574756042).

The spelling of 2404142342000 in words is "two trillion, four hundred four billion, one hundred forty-two million, three hundred forty-two thousand".