4133314340400 has 240 divisors, whose sum is σ = 15197952070400. Its totient is φ = 940631546880.

The previous prime is 4133314340377. The next prime is 4133314340401. The reversal of 4133314340400 is 40434133314.

4133314340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4133314340401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849231 + ... + 2997969.

Almost surely, 2^{4133314340400} is an apocalyptic number.

4133314340400 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 4133314340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598976035200).

4133314340400 is an abundant number, since it is smaller than the sum of its proper divisors (11064637730000).

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

4133314340400 is a wasteful number, since it uses less digits than its factorization.

4133314340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148996 (or 2148985 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4133314340400 its reverse (40434133314), we get a palindrome (4173748473714).

The spelling of 4133314340400 in words is "four trillion, one hundred thirty-three billion, three hundred fourteen million, three hundred forty thousand, four hundred".