13725044040288 has 192 divisors, whose sum is σ = 42675945016320. Its totient is φ = 3780451325952.

The previous prime is 13725044040283. The next prime is 13725044040293. The reversal of 13725044040288 is 88204044052731.

It is an interprime number because it is at equal distance from previous prime (13725044040283) and next prime (13725044040293).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725044040283) 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, 178045 + ... + 5242307.

It is an arithmetic number, because the mean of its divisors is an integer number (222270546960).

Almost surely, 2^{13725044040288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13725044040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337972508160).

13725044040288 is an abundant number, since it is smaller than the sum of its proper divisors (28950900976032).

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

13725044040288 is a wasteful number, since it uses less digits than its factorization.

13725044040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064429 (or 5064421 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 13725044040288 in words is "thirteen trillion, seven hundred twenty-five billion, forty-four million, forty thousand, two hundred eighty-eight".