34131440531241 has 32 divisors (see below), whose sum is σ = 50580523747200. Its totient is φ = 22747352990400.

The previous prime is 34131440531239. The next prime is 34131440531317. The reversal of 34131440531241 is 14213504413143.

34131440531241 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 4 + 405 + 3 + 1 + 241 = 666.

It is not a de Polignac number, because 34131440531241 - 2¹ = 34131440531239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131440531196 and 34131440531205.

It is not an unprimeable number, because it can be changed into a prime (34131448531241) 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, 1697987091 + ... + 1698007191.

It is an arithmetic number, because the mean of its divisors is an integer number (1580641367100).

Almost surely, 2^{34131440531241} is an apocalyptic number.

It is an amenable number.

34131440531241 is a deficient number, since it is larger than the sum of its proper divisors (16449083215959).

34131440531241 is a wasteful number, since it uses less digits than its factorization.

34131440531241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36166 (or 36160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 34131440531241 its reverse (14213504413143), we get a palindrome (48344944944384).

The spelling of 34131440531241 in words is "thirty-four trillion, one hundred thirty-one billion, four hundred forty million, five hundred thirty-one thousand, two hundred forty-one".