33242400000 has 864 divisors, whose sum is σ = 130935369600. Its totient is φ = 8398080000.

The previous prime is 33242399977. The next prime is 33242400011. The reversal of 33242400000 is 424233.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×33242400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1749599991 + ... + 1749600009.

Almost surely, 2^33242400000 is an apocalyptic number.

33242400000 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 33242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65467684800).

33242400000 is an abundant number, since it is smaller than the sum of its proper divisors (97692969600).

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

33242400000 is an frugal number, since it uses more digits than its factorization.

33242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33242400000 its reverse (424233), we get a palindrome (33242824233).

The spelling of 33242400000 in words is "thirty-three billion, two hundred forty-two million, four hundred thousand".