20000334314240 has 144 divisors (see below), whose sum is σ = 54761638213632. Its totient is φ = 6855914483712.

The previous prime is 20000334314231. The next prime is 20000334314267. The reversal of 20000334314240 is 4241343300002.

It is a super-2 number, since 2×20000334314240² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46080317 + ... + 46512323.

Almost surely, 2^{20000334314240} is an apocalyptic number.

20000334314240 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 20000334314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380819106816).

20000334314240 is an abundant number, since it is smaller than the sum of its proper divisors (34761303899392).

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

20000334314240 is an equidigital number, since it uses as much as digits as its factorization.

20000334314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437202 (or 437188 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20000334314240 its reverse (4241343300002), we get a palindrome (24241677614242).

The spelling of 20000334314240 in words is "twenty trillion, three hundred thirty-four million, three hundred fourteen thousand, two hundred forty".