20421234004314 has 256 divisors, whose sum is σ = 51939565977600. Its totient is φ = 5263117516800.

The previous prime is 20421234004307. The next prime is 20421234004321. The reversal of 20421234004314 is 41340043212402.

It is an interprime number because it is at equal distance from previous prime (20421234004307) and next prime (20421234004321).

It is a super-3 number, since 3×20421234004314³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63758682 + ... + 64078170.

It is an arithmetic number, because the mean of its divisors is an integer number (202888929600).

Almost surely, 2^{20421234004314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421234004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25969782988800).

20421234004314 is an abundant number, since it is smaller than the sum of its proper divisors (31518331973286).

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

20421234004314 is a wasteful number, since it uses less digits than its factorization.

20421234004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319661.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20421234004314 its reverse (41340043212402), we get a palindrome (61761277216716).

The spelling of 20421234004314 in words is "twenty trillion, four hundred twenty-one billion, two hundred thirty-four million, four thousand, three hundred fourteen".