1401338120 has 128 divisors (see below), whose sum is σ = 3894912000. Its totient is φ = 441870336.

The previous prime is 1401338083. The next prime is 1401338153. The reversal of 1401338120 is 218331041.

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 31 ways as a sum of consecutive naturals, for example, 1335356 + ... + 1336404.

It is an arithmetic number, because the mean of its divisors is an integer number (30429000).

Almost surely, 2^1401338120 is an apocalyptic number.

1401338120 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 1401338120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947456000).

1401338120 is an abundant number, since it is smaller than the sum of its proper divisors (2493573880).

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

1401338120 is a wasteful number, since it uses less digits than its factorization.

1401338120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1401338120 is about 37434.4509776756. The cubic root of 1401338120 is about 1119.0452428850.

Adding to 1401338120 its reverse (218331041), we get a palindrome (1619669161).

The spelling of 1401338120 in words is "one billion, four hundred one million, three hundred thirty-eight thousand, one hundred twenty".