33150420400 has 120 divisors (see below), whose sum is σ = 82467392384. Its totient is φ = 12792729600.

The previous prime is 33150420397. The next prime is 33150420403. The reversal of 33150420400 is 402405133.

It is an interprime number because it is at equal distance from previous prime (33150420397) and next prime (33150420403).

It is not an unprimeable number, because it can be changed into a prime (33150420403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4174834 + ... + 4182766.

Almost surely, 2^33150420400 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 33150420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41233696192).

33150420400 is an abundant number, since it is smaller than the sum of its proper divisors (49316971984).

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

33150420400 is a wasteful number, since it uses less digits than its factorization.

33150420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 33150420400 its reverse (402405133), we get a palindrome (33552825533).

The spelling of 33150420400 in words is "thirty-three billion, one hundred fifty million, four hundred twenty thousand, four hundred".