33204013401342 has 128 divisors (see below), whose sum is σ = 77655427200000. Its totient is φ = 9460948694400.

The previous prime is 33204013401341. The next prime is 33204013401343. The reversal of 33204013401342 is 24310431040233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33204013401341) and next prime (33204013401343).

It is a super-2 number, since 2×33204013401342² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33204013401341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3405884284 + ... + 3405894032.

It is an arithmetic number, because the mean of its divisors is an integer number (606683025000).

Almost surely, 2^{33204013401342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33204013401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38827713600000).

33204013401342 is an abundant number, since it is smaller than the sum of its proper divisors (44451413798658).

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

33204013401342 is a wasteful number, since it uses less digits than its factorization.

33204013401342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14127 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33204013401342 its reverse (24310431040233), we get a palindrome (57514444441575).

The spelling of 33204013401342 in words is "thirty-three trillion, two hundred four billion, thirteen million, four hundred one thousand, three hundred forty-two".