33420142400 has 84 divisors (see below), whose sum is σ = 82276040172. Its totient is φ = 13361295360.

The previous prime is 33420142391. The next prime is 33420142417. The reversal of 33420142400 is 424102433.

It can be written as a sum of positive squares in 6 ways, for example, as 5999431936 + 27420710464 = 77456^2 + 165592^2 .

It is a super-2 number, since 2×33420142400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4208834 + ... + 4216766.

Almost surely, 2^33420142400 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 33420142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41138020086).

33420142400 is an abundant number, since it is smaller than the sum of its proper divisors (48855897772).

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

33420142400 is a wasteful number, since it uses less digits than its factorization.

33420142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 33420142400 its reverse (424102433), we get a palindrome (33844244833).

The spelling of 33420142400 in words is "thirty-three billion, four hundred twenty million, one hundred forty-two thousand, four hundred".