4412333001400 has 96 divisors (see below), whose sum is σ = 10312623699840. Its totient is φ = 1755674559360.

The previous prime is 4412333001347. The next prime is 4412333001409. The reversal of 4412333001400 is 41003332144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412333001409) 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, 30812767 + ... + 30955633.

It is an arithmetic number, because the mean of its divisors is an integer number (107423163540).

Almost surely, 2^{4412333001400} is an apocalyptic number.

4412333001400 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 4412333001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156311849920).

4412333001400 is an abundant number, since it is smaller than the sum of its proper divisors (5900290698440).

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

4412333001400 is a wasteful number, since it uses less digits than its factorization.

4412333001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143693 (or 143684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4412333001400 its reverse (41003332144), we get a palindrome (4453336333544).

The spelling of 4412333001400 in words is "four trillion, four hundred twelve billion, three hundred thirty-three million, one thousand, four hundred".