20413334004264 has 192 divisors, whose sum is σ = 59727320911440. Its totient is φ = 6275402956800.

The previous prime is 20413334004197. The next prime is 20413334004299. The reversal of 20413334004264 is 46240043331402.

20413334004264 is a `hidden beast` number, since 20 + 4 + 1 + 33 + 340 + 0 + 4 + 264 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17813042302500 + 2600291701764 = 4220550^2 + 1612542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 11140372 + ... + 12842684.

Almost surely, 2^{20413334004264} is an apocalyptic number.

20413334004264 is a gapful number since it is divisible by the number (24) 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 20413334004264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863660455720).

20413334004264 is an abundant number, since it is smaller than the sum of its proper divisors (39313986907176).

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

20413334004264 is a wasteful number, since it uses less digits than its factorization.

20413334004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702540 (or 1702533 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20413334004264 its reverse (46240043331402), we get a palindrome (66653377335666).

The spelling of 20413334004264 in words is "twenty trillion, four hundred thirteen billion, three hundred thirty-four million, four thousand, two hundred sixty-four".