14433300020040 has 384 divisors, whose sum is σ = 49697256672000. Its totient is φ = 3344571648000.

The previous prime is 14433300020033. The next prime is 14433300020059. The reversal of 14433300020040 is 4002000333441.

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

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 95 ways as a sum of consecutive naturals, for example, 517290090 + ... + 517317990.

It is an arithmetic number, because the mean of its divisors is an integer number (129419939250).

Almost surely, 2^{14433300020040} is an apocalyptic number.

14433300020040 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 14433300020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848628336000).

14433300020040 is an abundant number, since it is smaller than the sum of its proper divisors (35263956651960).

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

14433300020040 is a wasteful number, since it uses less digits than its factorization.

14433300020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29509 (or 29494 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 14433300020040 its reverse (4002000333441), we get a palindrome (18435300353481).

The spelling of 14433300020040 in words is "fourteen trillion, four hundred thirty-three billion, three hundred million, twenty thousand, forty".