20417120304 has 160 divisors (see below), whose sum is σ = 63742586880. Its totient is φ = 5507481600.

The previous prime is 20417120291. The next prime is 20417120323. The reversal of 20417120304 is 40302171402.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403152 + ... + 450960.

It is an arithmetic number, because the mean of its divisors is an integer number (398391168).

Almost surely, 2^20417120304 is an apocalyptic number.

20417120304 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 20417120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31871293440).

20417120304 is an abundant number, since it is smaller than the sum of its proper divisors (43325466576).

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

20417120304 is a wasteful number, since it uses less digits than its factorization.

20417120304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47899 (or 47893 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 20417120304 its reverse (40302171402), we get a palindrome (60719291706).

The spelling of 20417120304 in words is "twenty billion, four hundred seventeen million, one hundred twenty thousand, three hundred four".