4332135402400 has 144 divisors (see below), whose sum is σ = 11398431391200. Its totient is φ = 1598282357760.

The previous prime is 4332135402373. The next prime is 4332135402401. The reversal of 4332135402400 is 42045312334.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4332135402401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12928171 + ... + 13259029.

It is an arithmetic number, because the mean of its divisors is an integer number (79155773550).

Almost surely, 2^{4332135402400} is an apocalyptic number.

4332135402400 is a gapful number since it is divisible by the number (40) 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 4332135402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699215695600).

4332135402400 is an abundant number, since it is smaller than the sum of its proper divisors (7066295988800).

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

4332135402400 is a wasteful number, since it uses less digits than its factorization.

4332135402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332151 (or 332138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 4332135402400 in words is "four trillion, three hundred thirty-two billion, one hundred thirty-five million, four hundred two thousand, four hundred".