14133369032640 has 1008 divisors, whose sum is σ = 59552937714816. Its totient is φ = 3162679603200.

The previous prime is 14133369032639. The next prime is 14133369032663. The reversal of 14133369032640 is 4623096333141.

14133369032640 is a `hidden beast` number, since 14 + 13 + 3 + 369 + 0 + 3 + 264 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144506955 + ... + 144604725.

It is an arithmetic number, because the mean of its divisors is an integer number (59080295352).

Almost surely, 2^{14133369032640} is an apocalyptic number.

14133369032640 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 14133369032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29776468857408).

14133369032640 is an abundant number, since it is smaller than the sum of its proper divisors (45419568682176).

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

14133369032640 is a wasteful number, since it uses less digits than its factorization.

14133369032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97840 (or 97805 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 14133369032640 in words is "fourteen trillion, one hundred thirty-three billion, three hundred sixty-nine million, thirty-two thousand, six hundred forty".