4411122042400 has 72 divisors (see below), whose sum is σ = 11402101820340. Its totient is φ = 1660657704960.

The previous prime is 4411122042359. The next prime is 4411122042403. The reversal of 4411122042400 is 42402211144.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1287235470096 + 3123886572304 = 1134564^2 + 1767452^2 .

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 (4411122042403) 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, 162160005 + ... + 162187204.

Almost surely, 2^{4411122042400} is an apocalyptic number.

4411122042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411122042400 is an abundant number, since it is smaller than the sum of its proper divisors (6990979777940).

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

4411122042400 is a wasteful number, since it uses less digits than its factorization.

4411122042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324347246 (or 324347233 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4411122042400 its reverse (42402211144), we get a palindrome (4453524253544).

The spelling of 4411122042400 in words is "four trillion, four hundred eleven billion, one hundred twenty-two million, forty-two thousand, four hundred".