404021243121120 has 288 divisors, whose sum is σ = 1404937444633632. Its totient is φ = 105691037577216.

The previous prime is 404021243121101. The next prime is 404021243121137. The reversal of 404021243121120 is 21121342120404.

404021243121120 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 12 + 431 + 211 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537145942 + ... + 537897578.

It is an arithmetic number, because the mean of its divisors is an integer number (4878255016089).

Almost surely, 2^{404021243121120} is an apocalyptic number.

404021243121120 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 404021243121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702468722316816).

404021243121120 is an abundant number, since it is smaller than the sum of its proper divisors (1000916201512512).

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

404021243121120 is a wasteful number, since it uses less digits than its factorization.

404021243121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758754 (or 758743 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 404021243121120 its reverse (21121342120404), we get a palindrome (425142585241524).

The spelling of 404021243121120 in words is "four hundred four trillion, twenty-one billion, two hundred forty-three million, one hundred twenty-one thousand, one hundred twenty".