14034358138320 has 1280 divisors, whose sum is σ = 54885237120000. Its totient is φ = 3332837394432.

The previous prime is 14034358138301. The next prime is 14034358138379. The reversal of 14034358138320 is 2383185343041.

14034358138320 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 4 + 3 + 581 + 38 + 32 + 0 = 666.

14034358138320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11147225851 + ... + 11147227109.

It is an arithmetic number, because the mean of its divisors is an integer number (42879091500).

Almost surely, 2^{14034358138320} is an apocalyptic number.

14034358138320 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 14034358138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27442618560000).

14034358138320 is an abundant number, since it is smaller than the sum of its proper divisors (40850878981680).

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

14034358138320 is an equidigital number, since it uses as much as digits as its factorization.

14034358138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 14034358138320 in words is "fourteen trillion, thirty-four billion, three hundred fifty-eight million, one hundred thirty-eight thousand, three hundred twenty".