13642242000 has 160 divisors (see below), whose sum is σ = 44060215680. Its totient is φ = 3631513600.

The previous prime is 13642241941. The next prime is 13642242007. The reversal of 13642242000 is 24224631.

It is a super-2 number, since 2×13642242000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642242007) 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, 4096336 + ... + 4099664.

It is an arithmetic number, because the mean of its divisors is an integer number (275376348).

Almost surely, 2^13642242000 is an apocalyptic number.

13642242000 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 13642242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22030107840).

13642242000 is an abundant number, since it is smaller than the sum of its proper divisors (30417973680).

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

13642242000 is a wasteful number, since it uses less digits than its factorization.

13642242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13642242000 its reverse (24224631), we get a palindrome (13666466631).

The spelling of 13642242000 in words is "thirteen billion, six hundred forty-two million, two hundred forty-two thousand".