33340004400 has 360 divisors, whose sum is σ = 112041606160. Its totient is φ = 8467752960.

The previous prime is 33340004323. The next prime is 33340004491. The reversal of 33340004400 is 440004333.

It is a super-2 number, since 2×33340004400² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305871546 + ... + 305871654.

Almost surely, 2^33340004400 is an apocalyptic number.

33340004400 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 33340004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56020803080).

33340004400 is an abundant number, since it is smaller than the sum of its proper divisors (78701601760).

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

33340004400 is a wasteful number, since it uses less digits than its factorization.

33340004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 33340004400 its reverse (440004333), we get a palindrome (33780008733).

The spelling of 33340004400 in words is "thirty-three billion, three hundred forty million, four thousand, four hundred".