404532141235404 has 288 divisors, whose sum is σ = 1194920207712000. Its totient is φ = 105571910545920.

The previous prime is 404532141235393. The next prime is 404532141235441.

404532141235404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 348897267 + ... + 350054805.

It is an arithmetic number, because the mean of its divisors is an integer number (4149028499000).

Almost surely, 2^{404532141235404} 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 404532141235404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597460103856000).

404532141235404 is an abundant number, since it is smaller than the sum of its proper divisors (790388066476596).

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

404532141235404 is a wasteful number, since it uses less digits than its factorization.

404532141235404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158053 (or 1158044 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 404532141235404 in words is "four hundred four trillion, five hundred thirty-two billion, one hundred forty-one million, two hundred thirty-five thousand, four hundred four".