2014040432000 has 256 divisors, whose sum is σ = 5277157516800. Its totient is φ = 762317568000.

The previous prime is 2014040431849. The next prime is 2014040432039. The reversal of 2014040432000 is 2340404102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295180589 + ... + 295187411.

It is an arithmetic number, because the mean of its divisors is an integer number (20613896550).

Almost surely, 2^{2014040432000} is an apocalyptic number.

2014040432000 is a gapful number since it is divisible by the number (20) 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 2014040432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638578758400).

2014040432000 is an abundant number, since it is smaller than the sum of its proper divisors (3263117084800).

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

2014040432000 is an equidigital number, since it uses as much as digits as its factorization.

2014040432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2014040432000 its reverse (2340404102), we get a palindrome (2016380836102).

The spelling of 2014040432000 in words is "two trillion, fourteen billion, forty million, four hundred thirty-two thousand".