14139433012320 has 768 divisors, whose sum is σ = 62276130201600. Its totient is φ = 2910598133760.

The previous prime is 14139433012273. The next prime is 14139433012387. The reversal of 14139433012320 is 2321033493141.

14139433012320 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 94 + 330 + 1 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35393851 + ... + 35791109.

It is an arithmetic number, because the mean of its divisors is an integer number (81088711200).

Almost surely, 2^{14139433012320} is an apocalyptic number.

14139433012320 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 14139433012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138065100800).

14139433012320 is an abundant number, since it is smaller than the sum of its proper divisors (48136697189280).

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

14139433012320 is a wasteful number, since it uses less digits than its factorization.

14139433012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397408 (or 397394 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 14139433012320 in words is "fourteen trillion, one hundred thirty-nine billion, four hundred thirty-three million, twelve thousand, three hundred twenty".