1401441520 has 80 divisors (see below), whose sum is σ = 3579056640. Its totient is φ = 507969792.

The previous prime is 1401441491. The next prime is 1401441527. The reversal of 1401441520 is 251441041.

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

It is a super-3 number, since 3×1401441520³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1401441491 and 1401441500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401441527) by changing a digit.

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, 14917 + ... + 55003.

It is an arithmetic number, because the mean of its divisors is an integer number (44738208).

Almost surely, 2^1401441520 is an apocalyptic number.

1401441520 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 1401441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789528320).

1401441520 is an abundant number, since it is smaller than the sum of its proper divisors (2177615120).

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

1401441520 is a wasteful number, since it uses less digits than its factorization.

1401441520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40142 (or 40136 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1401441520 is about 37435.8320329601. The cubic root of 1401441520 is about 1119.0727657292.

Adding to 1401441520 its reverse (251441041), we get a palindrome (1652882561).

The spelling of 1401441520 in words is "one billion, four hundred one million, four hundred forty-one thousand, five hundred twenty".