33401121432 has 128 divisors (see below), whose sum is σ = 98988480000. Its totient is φ = 9189282816.

The previous prime is 33401121349. The next prime is 33401121437. The reversal of 33401121432 is 23412110433.

It is a happy number.

It is a super-2 number, since 2×33401121432² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (33401121437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1837444 + ... + 1855532.

It is an arithmetic number, because the mean of its divisors is an integer number (773347500).

Almost surely, 2^33401121432 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 33401121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49494240000).

33401121432 is an abundant number, since it is smaller than the sum of its proper divisors (65587358568).

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

33401121432 is a wasteful number, since it uses less digits than its factorization.

33401121432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18513 (or 18509 counting only the distinct ones).

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

Adding to 33401121432 its reverse (23412110433), we get a palindrome (56813231865).

The spelling of 33401121432 in words is "thirty-three billion, four hundred one million, one hundred twenty-one thousand, four hundred thirty-two".