1330001400 has 192 divisors, whose sum is σ = 5074675200. Its totient is φ = 280604160.

The previous prime is 1330001377. The next prime is 1330001411. The reversal of 1330001400 is 41000331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42421 + ... + 66779.

It is an arithmetic number, because the mean of its divisors is an integer number (26430600).

Almost surely, 2^1330001400 is an apocalyptic number.

1330001400 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 1330001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537337600).

1330001400 is an abundant number, since it is smaller than the sum of its proper divisors (3744673800).

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

1330001400 is a wasteful number, since it uses less digits than its factorization.

1330001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24398 (or 24389 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1330001400 is about 36469.1842519133. The cubic root of 1330001400 is about 1099.7248347544.

Adding to 1330001400 its reverse (41000331), we get a palindrome (1371001731).

The spelling of 1330001400 in words is "one billion, three hundred thirty million, one thousand, four hundred".