1401340320 has 288 divisors, whose sum is σ = 5165596800. Its totient is φ = 344881152.

The previous prime is 1401340313. The next prime is 1401340387. The reversal of 1401340320 is 230431041.

1401340320 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 340 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1401340293 and 1401340302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959751 + ... + 961209.

It is an arithmetic number, because the mean of its divisors is an integer number (17936100).

Almost surely, 2^1401340320 is an apocalyptic number.

1401340320 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 1401340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582798400).

1401340320 is an abundant number, since it is smaller than the sum of its proper divisors (3764256480).

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

1401340320 is a wasteful number, since it uses less digits than its factorization.

1401340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

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

The square root of 1401340320 is about 37434.4803623611. The cubic root of 1401340320 is about 1119.0458284915.

Adding to 1401340320 its reverse (230431041), we get a palindrome (1631771361).

The spelling of 1401340320 in words is "one billion, four hundred one million, three hundred forty thousand, three hundred twenty".