1401331120 has 80 divisors (see below), whose sum is σ = 3885465600. Its totient is φ = 459562752.

The previous prime is 1401331117. The next prime is 1401331123. The reversal of 1401331120 is 211331041.

It is an interprime number because it is at equal distance from previous prime (1401331117) and next prime (1401331123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1401331094 and 1401331103.

It is not an unprimeable number, because it can be changed into a prime (1401331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41520 + ... + 67279.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 2^1401331120 is an apocalyptic number.

1401331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401331120 is an abundant number, since it is smaller than the sum of its proper divisors (2484134480).

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

1401331120 is a wasteful number, since it uses less digits than its factorization.

1401331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108842 (or 108836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1401331120 is about 37434.3574807956. The cubic root of 1401331120 is about 1119.0433795874.

Adding to 1401331120 its reverse (211331041), we get a palindrome (1612662161).

The spelling of 1401331120 in words is "one billion, four hundred one million, three hundred thirty-one thousand, one hundred twenty".