33134054445400 has 192 divisors, whose sum is σ = 83569801502880. Its totient is φ = 12167992934400.

The previous prime is 33134054445377. The next prime is 33134054445409. The reversal of 33134054445400 is 454445043133.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33134054445409) 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, 1336415404 + ... + 1336440196.

Almost surely, 2^{33134054445400} 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 33134054445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41784900751440).

33134054445400 is an abundant number, since it is smaller than the sum of its proper divisors (50435747057480).

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

33134054445400 is a wasteful number, since it uses less digits than its factorization.

33134054445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34454 (or 34445 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 33134054445400 its reverse (454445043133), we get a palindrome (33588499488533).

The spelling of 33134054445400 in words is "thirty-three trillion, one hundred thirty-four billion, fifty-four million, four hundred forty-five thousand, four hundred".