4121121404400 has 960 divisors, whose sum is σ = 17744586940416. Its totient is φ = 789585408000.

The previous prime is 4121121404341. The next prime is 4121121404441. The reversal of 4121121404400 is 44041211214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1738135215 + ... + 1738137585.

Almost surely, 2^{4121121404400} is an apocalyptic number.

4121121404400 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 4121121404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872293470208).

4121121404400 is an abundant number, since it is smaller than the sum of its proper divisors (13623465536016).

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

4121121404400 is a wasteful number, since it uses less digits than its factorization.

4121121404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4121121404400 its reverse (44041211214), we get a palindrome (4165162615614).

The spelling of 4121121404400 in words is "four trillion, one hundred twenty-one billion, one hundred twenty-one million, four hundred four thousand, four hundred".