404131200104000 has 224 divisors, whose sum is σ = 1011240813623040. Its totient is φ = 159971395584000.

The previous prime is 404131200103999. The next prime is 404131200104081. The reversal of 404131200104000 is 401002131404.

It is a super-2 number, since 2×404131200104000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13417800941 + ... + 13417831059.

It is an arithmetic number, because the mean of its divisors is an integer number (4514467917960).

Almost surely, 2^{404131200104000} is an apocalyptic number.

404131200104000 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 404131200104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505620406811520).

404131200104000 is an abundant number, since it is smaller than the sum of its proper divisors (607109613519040).

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

404131200104000 is a wasteful number, since it uses less digits than its factorization.

404131200104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47534 (or 47514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 404131200104000 its reverse (401002131404), we get a palindrome (404532202235404).

The spelling of 404131200104000 in words is "four hundred four trillion, one hundred thirty-one billion, two hundred million, one hundred four thousand".