1401441041 has 32 divisors (see below), whose sum is σ = 1884895488. Its totient is φ = 1006295040.

The previous prime is 1401441031. The next prime is 1401441061.

It is a happy number.

1401441041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1401441041 - 2⁶ = 1401440977 is a prime.

1401441041 is a modest number, since divided by 41041 gives 14014 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1401441031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977261 + ... + 978693.

It is an arithmetic number, because the mean of its divisors is an integer number (58902984).

Almost surely, 2^1401441041 is an apocalyptic number.

1401441041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1401441041 is a deficient number, since it is larger than the sum of its proper divisors (483454447).

1401441041 is a wasteful number, since it uses less digits than its factorization.

1401441041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1401441041 is about 37435.8256353456. The cubic root of 1401441041 is about 1119.0726382329.

It can be divided in two parts, 14014 and 41041, that added together give a palindrome (55055).

The spelling of 1401441041 in words is "one billion, four hundred one million, four hundred forty-one thousand, forty-one".