1332615040 has 128 divisors (see below), whose sum is σ = 3438313920. Its totient is φ = 492011520.

The previous prime is 1332615019. The next prime is 1332615041. The reversal of 1332615040 is 405162331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1332614996 and 1332615014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332615041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575485 + ... + 577795.

Almost surely, 2^1332615040 is an apocalyptic number.

1332615040 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 1332615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719156960).

1332615040 is an abundant number, since it is smaller than the sum of its proper divisors (2105698880).

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

1332615040 is a wasteful number, since it uses less digits than its factorization.

1332615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1332615040 is about 36505.0002054513. Note that the first 3 decimals coincide. The cubic root of 1332615040 is about 1100.4447347681. Note that the first 3 decimals are identical.

Adding to 1332615040 its reverse (405162331), we get a palindrome (1737777371).

The spelling of 1332615040 in words is "one billion, three hundred thirty-two million, six hundred fifteen thousand, forty".