1332020400 has 240 divisors, whose sum is σ = 4484379648. Its totient is φ = 337536000.

The previous prime is 1332020359. The next prime is 1332020429. The reversal of 1332020400 is 40202331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1332020400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2268907 + ... + 2269493.

Almost surely, 2^1332020400 is an apocalyptic number.

1332020400 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 1332020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242189824).

1332020400 is an abundant number, since it is smaller than the sum of its proper divisors (3152359248).

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

1332020400 is a wasteful number, since it uses less digits than its factorization.

1332020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1332020400 is about 36496.8546589977. The cubic root of 1332020400 is about 1100.2810301241.

Adding to 1332020400 its reverse (40202331), we get a palindrome (1372222731).

The spelling of 1332020400 in words is "one billion, three hundred thirty-two million, twenty thousand, four hundred".