33431424240000 has 640 divisors, whose sum is σ = 114961672488960. Its totient is φ = 8596224000000.

The previous prime is 33431424239987. The next prime is 33431424240001. The reversal of 33431424240000 is 4242413433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×33431424240000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 33431424240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33431424240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2090632005 + ... + 2090647995.

It is an arithmetic number, because the mean of its divisors is an integer number (179627613264).

Almost surely, 2^{33431424240000} is an apocalyptic number.

33431424240000 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 33431424240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57480836244480).

33431424240000 is an abundant number, since it is smaller than the sum of its proper divisors (81530248248960).

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

33431424240000 is a wasteful number, since it uses less digits than its factorization.

33431424240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16340 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 33431424240000 its reverse (4242413433), we get a palindrome (33435666653433).

The spelling of 33431424240000 in words is "thirty-three trillion, four hundred thirty-one billion, four hundred twenty-four million, two hundred forty thousand".