33325404000 has 384 divisors, whose sum is σ = 125166892032. Its totient is φ = 7593062400.

The previous prime is 33325403981. The next prime is 33325404001. The reversal of 33325404000 is 40452333.

It is a super-2 number, since 2×33325404000² (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 (33325404001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51827679 + ... + 51828321.

It is an arithmetic number, because the mean of its divisors is an integer number (325955448).

Almost surely, 2^33325404000 is an apocalyptic number.

33325404000 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 33325404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62583446016).

33325404000 is an abundant number, since it is smaller than the sum of its proper divisors (91841488032).

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

33325404000 is a wasteful number, since it uses less digits than its factorization.

33325404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 33325404000 its reverse (40452333), we get a palindrome (33365856333).

The spelling of 33325404000 in words is "thirty-three billion, three hundred twenty-five million, four hundred four thousand".