33400442020 has 96 divisors (see below), whose sum is σ = 80338366080. Its totient is φ = 11551626240.

The previous prime is 33400441993. The next prime is 33400442021. The reversal of 33400442020 is 2024400433.

It is a super-2 number, since 2×33400442020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33400441982 and 33400442000.

It is not an unprimeable number, because it can be changed into a prime (33400442021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 388392 + ... + 466528.

It is an arithmetic number, because the mean of its divisors is an integer number (836857980).

Almost surely, 2^33400442020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40169183040).

33400442020 is an abundant number, since it is smaller than the sum of its proper divisors (46937924060).

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

33400442020 is a wasteful number, since it uses less digits than its factorization.

33400442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78253 (or 78251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 33400442020 its reverse (2024400433), we get a palindrome (35424842453).

The spelling of 33400442020 in words is "thirty-three billion, four hundred million, four hundred forty-two thousand, twenty".