34040400322131 has 48 divisors (see below), whose sum is σ = 56345755714560. Its totient is φ = 19399021568640.

The previous prime is 34040400322079. The next prime is 34040400322141. The reversal of 34040400322131 is 13122300404043.

34040400322131 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 0 + 400 + 3 + 221 + 31 = 666.

It is not a de Polignac number, because 34040400322131 - 2⁶ = 34040400322067 is a prime.

It is a super-2 number, since 2×34040400322131² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34040400322095 and 34040400322104.

It is not an unprimeable number, because it can be changed into a prime (34040400322141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435310246 + ... + 435388436.

It is an arithmetic number, because the mean of its divisors is an integer number (1173869910720).

Almost surely, 2^{34040400322131} is an apocalyptic number.

34040400322131 is a deficient number, since it is larger than the sum of its proper divisors (22305355392429).

34040400322131 is a wasteful number, since it uses less digits than its factorization.

34040400322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96816 (or 96813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34040400322131 its reverse (13122300404043), we get a palindrome (47162700726174).

The spelling of 34040400322131 in words is "thirty-four trillion, forty billion, four hundred million, three hundred twenty-two thousand, one hundred thirty-one".