1329195840 has 224 divisors, whose sum is σ = 4861194240. Its totient is φ = 301418496.

The previous prime is 1329195809. The next prime is 1329195841. The reversal of 1329195840 is 485919231.

1329195840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1329195792 and 1329195801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329195841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933369 + ... + 934791.

It is an arithmetic number, because the mean of its divisors is an integer number (21701760).

Almost surely, 2^1329195840 is an apocalyptic number.

1329195840 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 1329195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430597120).

1329195840 is an abundant number, since it is smaller than the sum of its proper divisors (3531998400).

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

1329195840 is a wasteful number, since it uses less digits than its factorization.

1329195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1329195840 is about 36458.1381861444. The cubic root of 1329195840 is about 1099.5027614905.

The spelling of 1329195840 in words is "one billion, three hundred twenty-nine million, one hundred ninety-five thousand, eight hundred forty".