13742507430288 has 720 divisors, whose sum is σ = 52921611550080. Its totient is φ = 3284341530624.

The previous prime is 13742507430287. The next prime is 13742507430293. The reversal of 13742507430288 is 88203470524731.

It is a happy number.

13742507430288 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 250 + 7 + 4 + 302 + 88 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13742507430287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39913720 + ... + 40256552.

It is an arithmetic number, because the mean of its divisors is an integer number (73502238264).

Almost surely, 2^{13742507430288} is an apocalyptic number.

13742507430288 is a gapful number since it is divisible by the number (18) 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 13742507430288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460805775040).

13742507430288 is an abundant number, since it is smaller than the sum of its proper divisors (39179104119792).

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

13742507430288 is a wasteful number, since it uses less digits than its factorization.

13742507430288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342916 (or 342900 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 13742507430288 in words is "thirteen trillion, seven hundred forty-two billion, five hundred seven million, four hundred thirty thousand, two hundred eighty-eight".