33134210021400 has 192 divisors, whose sum is σ = 108394521830400. Its totient is φ = 8349661647360.

The previous prime is 33134210021383. The next prime is 33134210021413. The reversal of 33134210021400 is 412001243133.

It is a happy number.

It is a super-3 number, since 3×33134210021400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865209 + ... + 8186391.

It is an arithmetic number, because the mean of its divisors is an integer number (564554801200).

Almost surely, 2^{33134210021400} is an apocalyptic number.

33134210021400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33134210021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54197260915200).

33134210021400 is an abundant number, since it is smaller than the sum of its proper divisors (75260311809000).

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

33134210021400 is a wasteful number, since it uses less digits than its factorization.

33134210021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321618 (or 7321609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33134210021400 its reverse (412001243133), we get a palindrome (33546211264533).

The spelling of 33134210021400 in words is "thirty-three trillion, one hundred thirty-four billion, two hundred ten million, twenty-one thousand, four hundred".