1331432400 has 120 divisors (see below), whose sum is σ = 4323731200. Its totient is φ = 350161920.

The previous prime is 1331432371. The next prime is 1331432413. The reversal of 1331432400 is 42341331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80001 + ... + 95199.

Almost surely, 2^1331432400 is an apocalyptic number.

1331432400 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 1331432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161865600).

1331432400 is an abundant number, since it is smaller than the sum of its proper divisors (2992298800).

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

1331432400 is a wasteful number, since it uses less digits than its factorization.

1331432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15293 (or 15282 counting only the distinct ones).

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

The square root of 1331432400 is about 36488.7982811164. The cubic root of 1331432400 is about 1100.1191055603.

Adding to 1331432400 its reverse (42341331), we get a palindrome (1373773731).

The spelling of 1331432400 in words is "one billion, three hundred thirty-one million, four hundred thirty-two thousand, four hundred".