20003334134240 has 192 divisors, whose sum is σ = 51538203279360. Its totient is φ = 7317147371520.

The previous prime is 20003334134239. The next prime is 20003334134257. The reversal of 20003334134240 is 4243143330002.

It is a super-2 number, since 2×20003334134240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281049 + ... + 8239911.

It is an arithmetic number, because the mean of its divisors is an integer number (268428142080).

Almost surely, 2^{20003334134240} is an apocalyptic number.

20003334134240 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 20003334134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769101639680).

20003334134240 is an abundant number, since it is smaller than the sum of its proper divisors (31534869145120).

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

20003334134240 is a wasteful number, since it uses less digits than its factorization.

20003334134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958985 (or 2958977 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 20003334134240 its reverse (4243143330002), we get a palindrome (24246477464242).

The spelling of 20003334134240 in words is "twenty trillion, three billion, three hundred thirty-four million, one hundred thirty-four thousand, two hundred forty".