1330241400 has 192 divisors, whose sum is σ = 4610642400. Its totient is φ = 352512000.

The previous prime is 1330241377. The next prime is 1330241447. The reversal of 1330241400 is 41420331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976720 + ... + 978080.

Almost surely, 2^1330241400 is an apocalyptic number.

1330241400 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 1330241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305321200).

1330241400 is an abundant number, since it is smaller than the sum of its proper divisors (3280401000).

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

1330241400 is a wasteful number, since it uses less digits than its factorization.

1330241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1552 counting only the distinct ones).

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

The square root of 1330241400 is about 36472.4745527363. The cubic root of 1330241400 is about 1099.7909795685.

Adding to 1330241400 its reverse (41420331), we get a palindrome (1371661731).

The spelling of 1330241400 in words is "one billion, three hundred thirty million, two hundred forty-one thousand, four hundred".