1332995040 has 288 divisors, whose sum is σ = 5058982656. Its totient is φ = 317399040.

The previous prime is 1332995033. The next prime is 1332995051. The reversal of 1332995040 is 405992331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1332994986 and 1332995004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579172 + ... + 581468.

It is an arithmetic number, because the mean of its divisors is an integer number (17565912).

Almost surely, 2^1332995040 is an apocalyptic number.

1332995040 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 1332995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529491328).

1332995040 is an abundant number, since it is smaller than the sum of its proper divisors (3725987616).

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

1332995040 is a wasteful number, since it uses less digits than its factorization.

1332995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1332995040 is about 36510.2046009058. The cubic root of 1332995040 is about 1100.5493234266.

The spelling of 1332995040 in words is "one billion, three hundred thirty-two million, nine hundred ninety-five thousand, forty".