4021121438800 has 120 divisors (see below), whose sum is σ = 9973752369152. Its totient is φ = 1556349120000.

The previous prime is 4021121438767. The next prime is 4021121438801. The reversal of 4021121438800 is 88341211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021121438801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113454682 + ... + 113490118.

Almost surely, 2^{4021121438800} is an apocalyptic number.

4021121438800 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 4021121438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986876184576).

4021121438800 is an abundant number, since it is smaller than the sum of its proper divisors (5952630930352).

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

4021121438800 is a wasteful number, since it uses less digits than its factorization.

4021121438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44637 (or 44626 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 4021121438800 in words is "four trillion, twenty-one billion, one hundred twenty-one million, four hundred thirty-eight thousand, eight hundred".