33320442400 has 72 divisors (see below), whose sum is σ = 92964049920. Its totient is φ = 11424149760.

The previous prime is 33320442383. The next prime is 33320442409. The reversal of 33320442400 is 424402333.

It is a super-2 number, since 2×33320442400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33320442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2969440 + ... + 2980639.

It is an arithmetic number, because the mean of its divisors is an integer number (1291167360).

Almost surely, 2^33320442400 is an apocalyptic number.

It is an amenable number.

33320442400 is an abundant number, since it is smaller than the sum of its proper divisors (59643607520).

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

33320442400 is a wasteful number, since it uses less digits than its factorization.

33320442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950106 (or 5950093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 33320442400 its reverse (424402333), we get a palindrome (33744844733).

The spelling of 33320442400 in words is "thirty-three billion, three hundred twenty million, four hundred forty-two thousand, four hundred".