13433042400 has 144 divisors (see below), whose sum is σ = 44906594544. Its totient is φ = 3485306880.

The previous prime is 13433042387. The next prime is 13433042401. The reversal of 13433042400 is 424033431.

13433042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13433042401) 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 23 ways as a sum of consecutive naturals, for example, 13164 + ... + 164436.

It is an arithmetic number, because the mean of its divisors is an integer number (311851351).

Almost surely, 2^13433042400 is an apocalyptic number.

13433042400 is a gapful number since it is divisible by the number (10) 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 13433042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453297272).

13433042400 is an abundant number, since it is smaller than the sum of its proper divisors (31473552144).

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

13433042400 is a wasteful number, since it uses less digits than its factorization.

13433042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151333 (or 151320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13433042400 its reverse (424033431), we get a palindrome (13857075831).

The spelling of 13433042400 in words is "thirteen billion, four hundred thirty-three million, forty-two thousand, four hundred".