1331542240 has 192 divisors, whose sum is σ = 3730987008. Its totient is φ = 439603200.

The previous prime is 1331542237. The next prime is 1331542253. The reversal of 1331542240 is 422451331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4913305 + ... + 4913575.

It is an arithmetic number, because the mean of its divisors is an integer number (19432224).

Almost surely, 2^1331542240 is an apocalyptic number.

1331542240 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 1331542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865493504).

1331542240 is an abundant number, since it is smaller than the sum of its proper divisors (2399444768).

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

1331542240 is a wasteful number, since it uses less digits than its factorization.

1331542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1331542240 is about 36490.3033695254. The cubic root of 1331542240 is about 1100.1493571300.

Adding to 1331542240 its reverse (422451331), we get a palindrome (1753993571).

Subtracting from 1331542240 its reverse (422451331), we obtain a palindrome (909090909).

It can be divided in two parts, 13315 and 42240, that added together give a palindrome (55555).

The spelling of 1331542240 in words is "one billion, three hundred thirty-one million, five hundred forty-two thousand, two hundred forty".