33142223013400 has 192 divisors, whose sum is σ = 82750420821600. Its totient is φ = 12300362711040.

The previous prime is 33142223013353. The next prime is 33142223013407. The reversal of 33142223013400 is 431032224133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142223013407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84563091 + ... + 84954109.

Almost surely, 2^{33142223013400} 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 33142223013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41375210410800).

33142223013400 is an abundant number, since it is smaller than the sum of its proper divisors (49608197808200).

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

33142223013400 is a wasteful number, since it uses less digits than its factorization.

33142223013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391406 (or 391397 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33142223013400 its reverse (431032224133), we get a palindrome (33573255237533).

The spelling of 33142223013400 in words is "thirty-three trillion, one hundred forty-two billion, two hundred twenty-three million, thirteen thousand, four hundred".