1331404032 has 144 divisors (see below), whose sum is σ = 4071255552. Its totient is φ = 378378240.

The previous prime is 1331403991. The next prime is 1331404033. The reversal of 1331404032 is 2304041331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331404033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219807 + ... + 1220897.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^1331404032 is an apocalyptic number.

1331404032 is a gapful number since it is divisible by the number (12) 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 1331404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035627776).

1331404032 is an abundant number, since it is smaller than the sum of its proper divisors (2739851520).

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

1331404032 is a wasteful number, since it uses less digits than its factorization.

1331404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1331404032 is about 36488.4095570086. The cubic root of 1331404032 is about 1100.1112923209. Note that the first 3 decimals are identical.

Adding to 1331404032 its reverse (2304041331), we get a palindrome (3635445363).

The spelling of 1331404032 in words is "one billion, three hundred thirty-one million, four hundred four thousand, thirty-two".