4440121212400 has 60 divisors (see below), whose sum is σ = 10713973928200. Its totient is φ = 1768292778240.

The previous prime is 4440121212383. The next prime is 4440121212409. The reversal of 4440121212400 is 42121210444.

It is a happy number.

It is a super-4 number, since 4×4440121212400⁴ (a number of 52 digits) contains 4444 as substring.

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 (4440121212409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24144870 + ... + 24328069.

Almost surely, 2^{4440121212400} is an apocalyptic number.

4440121212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440121212400 is an abundant number, since it is smaller than the sum of its proper divisors (6273852715800).

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

4440121212400 is a wasteful number, since it uses less digits than its factorization.

4440121212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48473186 (or 48473175 counting only the distinct ones).

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

Adding to 4440121212400 its reverse (42121210444), we get a palindrome (4482242422844).

The spelling of 4440121212400 in words is "four trillion, four hundred forty billion, one hundred twenty-one million, two hundred twelve thousand, four hundred".