1401304000 has 112 divisors (see below), whose sum is σ = 3504346560. Its totient is φ = 555033600.

The previous prime is 1401303947. The next prime is 1401304031. The reversal of 1401304000 is 4031041.

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 15 ways as a sum of consecutive naturals, for example, 871197 + ... + 872803.

Almost surely, 2^1401304000 is an apocalyptic number.

1401304000 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 1401304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752173280).

1401304000 is an abundant number, since it is smaller than the sum of its proper divisors (2103042560).

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

1401304000 is a wasteful number, since it uses less digits than its factorization.

1401304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1401304000 is about 37433.9952449642. The cubic root of 1401304000 is about 1119.0361605817.

Adding to 1401304000 its reverse (4031041), we get a palindrome (1405335041).

The spelling of 1401304000 in words is "one billion, four hundred one million, three hundred four thousand".