17942400000 has 792 divisors, whose sum is σ = 74838647520. Its totient is φ = 4055040000.

The previous prime is 17942399971. The next prime is 17942400019. The reversal of 17942400000 is 424971.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201599956 + ... + 201600044.

Almost surely, 2^17942400000 is an apocalyptic number.

17942400000 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 17942400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37419323760).

17942400000 is an abundant number, since it is smaller than the sum of its proper divisors (56896247520).

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

17942400000 is an frugal number, since it uses more digits than its factorization.

17942400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 17942400000 its reverse (424971), we get a palindrome (17942824971).

The spelling of 17942400000 in words is "seventeen billion, nine hundred forty-two million, four hundred thousand".