1330401024 has 180 divisors, whose sum is σ = 4020004296. Its totient is φ = 437557248.

The previous prime is 1330401019. The next prime is 1330401041. The reversal of 1330401024 is 4201040331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330400988 and 1330401006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1720702 + ... + 1721474.

Almost surely, 2^1330401024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010002148).

1330401024 is an abundant number, since it is smaller than the sum of its proper divisors (2689603272).

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

1330401024 is an frugal number, since it uses more digits than its factorization.

1330401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1330401024 is about 36474.6627674609. The cubic root of 1330401024 is about 1099.8349680791.

Adding to 1330401024 its reverse (4201040331), we get a palindrome (5531441355).

The spelling of 1330401024 in words is "one billion, three hundred thirty million, four hundred one thousand, twenty-four".