404033344113400 has 96 divisors (see below), whose sum is σ = 940132319644800. Its totient is φ = 161483499302400.

The previous prime is 404033344113389. The next prime is 404033344113407. The reversal of 404033344113400 is 4311443330404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404033344113407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3974190969 + ... + 3974292631.

It is an arithmetic number, because the mean of its divisors is an integer number (9793044996300).

Almost surely, 2^{404033344113400} is an apocalyptic number.

404033344113400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404033344113400 is an abundant number, since it is smaller than the sum of its proper divisors (536098975531400).

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

404033344113400 is a wasteful number, since it uses less digits than its factorization.

404033344113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117449 (or 117440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 404033344113400 its reverse (4311443330404), we get a palindrome (408344787443804).

The spelling of 404033344113400 in words is "four hundred four trillion, thirty-three billion, three hundred forty-four million, one hundred thirteen thousand, four hundred".