1404205668 has 36 divisors (see below), whose sum is σ = 3550676220. Its totient is φ = 467916096.

The previous prime is 1404205601. The next prime is 1404205681. The reversal of 1404205668 is 8665024041.

It can be written as a sum of positive squares in 2 ways, for example, as 1224860004 + 179345664 = 34998^2 + 13392^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183046 + ... + 190562.

It is an arithmetic number, because the mean of its divisors is an integer number (98629895).

Almost surely, 2^1404205668 is an apocalyptic number.

1404205668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1404205668 is an abundant number, since it is smaller than the sum of its proper divisors (2146470552).

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

1404205668 is a wasteful number, since it uses less digits than its factorization.

1404205668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1404205668 is about 37472.7323263196. The cubic root of 1404205668 is about 1119.8080208788.

The spelling of 1404205668 in words is "one billion, four hundred four million, two hundred five thousand, six hundred sixty-eight".