34406253441 has 20 divisors (see below), whose sum is σ = 58739424832. Its totient is φ = 19660715928.

The previous prime is 34406253419. The next prime is 34406253463. The reversal of 34406253441 is 14435260443.

It is an interprime number because it is at equal distance from previous prime (34406253419) and next prime (34406253463).

It is a de Polignac number, because none of the positive numbers 2^k-34406253441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34406253396 and 34406253405.

It is not an unprimeable number, because it can be changed into a prime (34406253481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30340045 + ... + 30341178.

Almost surely, 2^34406253441 is an apocalyptic number.

It is an amenable number.

34406253441 is a deficient number, since it is larger than the sum of its proper divisors (24333171391).

34406253441 is an equidigital number, since it uses as much as digits as its factorization.

34406253441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60681242 (or 60681233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34406253441 in words is "thirty-four billion, four hundred six million, two hundred fifty-three thousand, four hundred forty-one".