20114050333440 has 288 divisors, whose sum is σ = 73586665506816. Its totient is φ = 4586827530240.

The previous prime is 20114050333417. The next prime is 20114050333469. The reversal of 20114050333440 is 4433305041102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20114050333398 and 20114050333407.

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, 10717194 + ... + 12453366.

It is an arithmetic number, because the mean of its divisors is an integer number (255509255232).

Almost surely, 2^{20114050333440} is an apocalyptic number.

20114050333440 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 20114050333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36793332753408).

20114050333440 is an abundant number, since it is smaller than the sum of its proper divisors (53472615173376).

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

20114050333440 is a wasteful number, since it uses less digits than its factorization.

20114050333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736635 (or 1736621 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20114050333440 its reverse (4433305041102), we get a palindrome (24547355374542).

The spelling of 20114050333440 in words is "twenty trillion, one hundred fourteen billion, fifty million, three hundred thirty-three thousand, four hundred forty".