1331942400 has 528 divisors, whose sum is σ = 5117172480. Its totient is φ = 339148800.

The previous prime is 1331942399. The next prime is 1331942407. The reversal of 1331942400 is 42491331.

1331942400 is a `hidden beast` number, since 1 + 331 + 94 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331942407) by changing a digit.

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, 28339177 + ... + 28339223.

Almost surely, 2^1331942400 is an apocalyptic number.

1331942400 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 1331942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558586240).

1331942400 is an abundant number, since it is smaller than the sum of its proper divisors (3785230080).

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

1331942400 is a wasteful number, since it uses less digits than its factorization.

1331942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1331942400 is about 36495.7860581191. The cubic root of 1331942400 is about 1100.2595530768.

The spelling of 1331942400 in words is "one billion, three hundred thirty-one million, nine hundred forty-two thousand, four hundred".