1331948640 has 576 divisors, whose sum is σ = 5212408320. Its totient is φ = 283852800.

The previous prime is 1331948617. The next prime is 1331948641. The reversal of 1331948640 is 468491331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331948641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18759805 + ... + 18759875.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^1331948640 is an apocalyptic number.

1331948640 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 1331948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

1331948640 is an abundant number, since it is smaller than the sum of its proper divisors (3880459680).

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

1331948640 is a wasteful number, since it uses less digits than its factorization.

1331948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1331948640 is about 36495.8715473408. The cubic root of 1331948640 is about 1100.2612712714.

The spelling of 1331948640 in words is "one billion, three hundred thirty-one million, nine hundred forty-eight thousand, six hundred forty".