214401343041 has 80 divisors (see below), whose sum is σ = 336485318400. Its totient is φ = 135888710400.

The previous prime is 214401343033. The next prime is 214401343049. The reversal of 214401343041 is 140343104412.

214401343041 is a `hidden beast` number, since 21 + 440 + 134 + 30 + 41 = 666.

214401343041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214401343033) and next prime (214401343049).

It is not a de Polignac number, because 214401343041 - 2³ = 214401343033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214401342996 and 214401343014.

It is not an unprimeable number, because it can be changed into a prime (214401343049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147760366 + ... + 147761816.

It is an arithmetic number, because the mean of its divisors is an integer number (4206066480).

Almost surely, 2^214401343041 is an apocalyptic number.

It is an amenable number.

214401343041 is a deficient number, since it is larger than the sum of its proper divisors (122083975359).

214401343041 is a wasteful number, since it uses less digits than its factorization.

214401343041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214401343041 its reverse (140343104412), we get a palindrome (354744447453).

The spelling of 214401343041 in words is "two hundred fourteen billion, four hundred one million, three hundred forty-three thousand, forty-one".