14040233153120 has 192 divisors, whose sum is σ = 34374461184000. Its totient is φ = 5415787345920.

The previous prime is 14040233153117. The next prime is 14040233153159. The reversal of 14040233153120 is 2135133204041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955175531 + ... + 955190229.

It is an arithmetic number, because the mean of its divisors is an integer number (179033652000).

Almost surely, 2^{14040233153120} is an apocalyptic number.

14040233153120 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 14040233153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187230592000).

14040233153120 is an abundant number, since it is smaller than the sum of its proper divisors (20334228030880).

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

14040233153120 is a wasteful number, since it uses less digits than its factorization.

14040233153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16621 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 14040233153120 its reverse (2135133204041), we get a palindrome (16175366357161).

The spelling of 14040233153120 in words is "fourteen trillion, forty billion, two hundred thirty-three million, one hundred fifty-three thousand, one hundred twenty".