1332142400 has 84 divisors (see below), whose sum is σ = 3331883100. Its totient is φ = 524083200.

The previous prime is 1332142393. The next prime is 1332142489. The reversal of 1332142400 is 42412331.

It can be written as a sum of positive squares in 6 ways, for example, as 516925696 + 815216704 = 22736^2 + 28552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 90776 + ... + 104424.

It is an arithmetic number, because the mean of its divisors is an integer number (39665275).

Almost surely, 2^1332142400 is an apocalyptic number.

1332142400 is a gapful number since it is divisible by the number (10) 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 1332142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665941550).

1332142400 is an abundant number, since it is smaller than the sum of its proper divisors (1999740700).

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

1332142400 is a wasteful number, since it uses less digits than its factorization.

1332142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1332142400 is about 36498.5259976345. The cubic root of 1332142400 is about 1100.3146207478.

Adding to 1332142400 its reverse (42412331), we get a palindrome (1374554731).

The spelling of 1332142400 in words is "one billion, three hundred thirty-two million, one hundred forty-two thousand, four hundred".