404412140033132 has 288 divisors, whose sum is σ = 960098033664000. Its totient is φ = 146964271708800.

The previous prime is 404412140033123. The next prime is 404412140033203. The reversal of 404412140033132 is 231330041214404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681221369 + ... + 681814767.

It is an arithmetic number, because the mean of its divisors is an integer number (3333673728000).

Almost surely, 2^{404412140033132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404412140033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480049016832000).

404412140033132 is an abundant number, since it is smaller than the sum of its proper divisors (555685893630868).

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

404412140033132 is a wasteful number, since it uses less digits than its factorization.

404412140033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593705 (or 593696 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 404412140033132 its reverse (231330041214404), we get a palindrome (635742181247536).

The spelling of 404412140033132 in words is "four hundred four trillion, four hundred twelve billion, one hundred forty million, thirty-three thousand, one hundred thirty-two".