33413220420 has 144 divisors (see below), whose sum is σ = 97314444864. Its totient is φ = 8565523200.

The previous prime is 33413220409. The next prime is 33413220433. The reversal of 33413220420 is 2402231433.

It is a super-2 number, since 2×33413220420² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9050775 + ... + 9054465.

It is an arithmetic number, because the mean of its divisors is an integer number (675794756).

Almost surely, 2^33413220420 is an apocalyptic number.

33413220420 is a gapful number since it is divisible by the number (30) 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 33413220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657222432).

33413220420 is an abundant number, since it is smaller than the sum of its proper divisors (63901224444).

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

33413220420 is a wasteful number, since it uses less digits than its factorization.

33413220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3889 counting only the distinct ones).

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

Adding to 33413220420 its reverse (2402231433), we get a palindrome (35815451853).

The spelling of 33413220420 in words is "thirty-three billion, four hundred thirteen million, two hundred twenty thousand, four hundred twenty".