14013011044032 has 672 divisors, whose sum is σ = 52881211138560. Its totient is φ = 3162117242880.

The previous prime is 14013011044031. The next prime is 14013011044061. The reversal of 14013011044032 is 23044011031041.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14013011043993 and 14013011044011.

It is not an unprimeable number, because it can be changed into a prime (14013011044031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55417344 + ... + 55669632.

It is an arithmetic number, because the mean of its divisors is an integer number (78692278480).

Almost surely, 2^{14013011044032} is an apocalyptic number.

14013011044032 is a gapful number since it is divisible by the number (12) 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 14013011044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440605569280).

14013011044032 is an abundant number, since it is smaller than the sum of its proper divisors (38868200094528).

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

14013011044032 is a wasteful number, since it uses less digits than its factorization.

14013011044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252369 (or 252342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14013011044032 its reverse (23044011031041), we get a palindrome (37057022075073).

The spelling of 14013011044032 in words is "fourteen trillion, thirteen billion, eleven million, forty-four thousand, thirty-two".