14138138607600 has 240 divisors, whose sum is σ = 51761576475648. Its totient is φ = 3231416939520.

The previous prime is 14138138607589. The next prime is 14138138607623. The reversal of 14138138607600 is 670683183141.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14138138607600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335029702 + ... + 335071898.

Almost surely, 2^{14138138607600} is an apocalyptic number.

14138138607600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14138138607600 is an abundant number, since it is smaller than the sum of its proper divisors (37623437868048).

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

14138138607600 is a wasteful number, since it uses less digits than its factorization.

14138138607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82112 (or 82101 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 14138138607600 in words is "fourteen trillion, one hundred thirty-eight billion, one hundred thirty-eight million, six hundred seven thousand, six hundred".