13734442000 has 40 divisors (see below), whose sum is σ = 33209885592. Its totient is φ = 5493776000.

The previous prime is 13734441989. The next prime is 13734442009. The reversal of 13734442000 is 24443731.

It can be written as a sum of positive squares in 4 ways, for example, as 163123984 + 13571318016 = 12772^2 + 116496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13734442000.

It is not an unprimeable number, because it can be changed into a prime (13734442009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3431611 + ... + 3435610.

Almost surely, 2^13734442000 is an apocalyptic number.

13734442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734442000 is an abundant number, since it is smaller than the sum of its proper divisors (19475443592).

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

13734442000 is an equidigital number, since it uses as much as digits as its factorization.

13734442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867244 (or 6867228 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 13734442000 its reverse (24443731), we get a palindrome (13758885731).

The spelling of 13734442000 in words is "thirteen billion, seven hundred thirty-four million, four hundred forty-two thousand".