404241122011200 has 336 divisors, whose sum is σ = 1328637074374080. Its totient is φ = 107603535790080.

The previous prime is 404241122011189. The next prime is 404241122011211. The reversal of 404241122011200 is 2110221142404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404241122011189) and next prime (404241122011211).

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

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, 10546593636 + ... + 10546631964.

Almost surely, 2^{404241122011200} is an apocalyptic number.

404241122011200 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 404241122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664318537187040).

404241122011200 is an abundant number, since it is smaller than the sum of its proper divisors (924395952362880).

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

404241122011200 is a wasteful number, since it uses less digits than its factorization.

404241122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42254 (or 42239 counting only the distinct ones).

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

Adding to 404241122011200 its reverse (2110221142404), we get a palindrome (406351343153604).

The spelling of 404241122011200 in words is "four hundred four trillion, two hundred forty-one billion, one hundred twenty-two million, eleven thousand, two hundred".