10033414220 has 48 divisors (see below), whose sum is σ = 21806765568. Its totient is φ = 3875082240.

The previous prime is 10033414187. The next prime is 10033414231. The reversal of 10033414220 is 2241433001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10033414192 and 10033414201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16469 + ... + 142611.

It is an arithmetic number, because the mean of its divisors is an integer number (454307616).

Almost surely, 2^10033414220 is an apocalyptic number.

10033414220 is a gapful number since it is divisible by the number (10) 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 10033414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903382784).

10033414220 is an abundant number, since it is smaller than the sum of its proper divisors (11773351348).

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

10033414220 is a wasteful number, since it uses less digits than its factorization.

10033414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126290 (or 126288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10033414220 its reverse (2241433001), we get a palindrome (12274847221).

The spelling of 10033414220 in words is "ten billion, thirty-three million, four hundred fourteen thousand, two hundred twenty".