1401338331041 has 12 divisors (see below), whose sum is σ = 1555564680852. Its totient is φ = 1261330620000.

The previous prime is 1401338331031. The next prime is 1401338331077.

1401338331041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1107714150400 + 293624180641 = 1052480^2 + 541871^2 .

It is not a de Polignac number, because 1401338331041 - 2²⁶ = 1401271222177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1401338330989 and 1401338331007.

It is not an unprimeable number, because it can be changed into a prime (1401338331011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57320990 + ... + 57345431.

It is an arithmetic number, because the mean of its divisors is an integer number (129630390071).

Almost surely, 2^{1401338331041} is an apocalyptic number.

1401338331041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1401338331041 is a deficient number, since it is larger than the sum of its proper divisors (154226349811).

1401338331041 is a wasteful number, since it uses less digits than its factorization.

1401338331041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114666544 (or 114666533 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1401338331041 in words is "one trillion, four hundred one billion, three hundred thirty-eight million, three hundred thirty-one thousand, forty-one".