1332104004 has 243 divisors, whose sum is σ = 4360674591. Its totient is φ = 341621280.

The previous prime is 1332103987. The next prime is 1332104027. The reversal of 1332104004 is 4004012331.

The square root of 1332104004 is 36498.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16862037 + ... + 16862115.

Almost surely, 2^1332104004 is an apocalyptic number.

1332104004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1332104004 is the 36498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332104004

1332104004 is an abundant number, since it is smaller than the sum of its proper divisors (3028570587).

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

1332104004 is a wasteful number, since it uses less digits than its factorization.

1332104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The cubic root of 1332104004 is about 1100.3040492838.

Adding to 1332104004 its reverse (4004012331), we get a palindrome (5336116335).

The spelling of 1332104004 in words is "one billion, three hundred thirty-two million, one hundred four thousand, four".