20413034304 has 224 divisors, whose sum is σ = 60213605760. Its totient is φ = 6063095808.

The previous prime is 20413034303. The next prime is 20413034329. The reversal of 20413034304 is 40343031402.

It is a super-3 number, since 3×20413034304³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413034303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9551124 + ... + 9553260.

It is an arithmetic number, because the mean of its divisors is an integer number (268810740).

Almost surely, 2^20413034304 is an apocalyptic number.

20413034304 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 20413034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106802880).

20413034304 is an abundant number, since it is smaller than the sum of its proper divisors (39800571456).

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

20413034304 is a wasteful number, since it uses less digits than its factorization.

20413034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20413034304 its reverse (40343031402), we get a palindrome (60756065706).

The spelling of 20413034304 in words is "twenty billion, four hundred thirteen million, thirty-four thousand, three hundred four".