34416426641 has 16 divisors (see below), whose sum is σ = 36753308160. Its totient is φ = 32169363840.

The previous prime is 34416426623. The next prime is 34416426677. The reversal of 34416426641 is 14662461443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34416426641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34416426041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47630 + ... + 266648.

It is an arithmetic number, because the mean of its divisors is an integer number (2297081760).

Almost surely, 2^34416426641 is an apocalyptic number.

34416426641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34416426641 is a deficient number, since it is larger than the sum of its proper divisors (2336881519).

34416426641 is a wasteful number, since it uses less digits than its factorization.

34416426641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219224.

The product of its digits is 331776, while the sum is 41.

The spelling of 34416426641 in words is "thirty-four billion, four hundred sixteen million, four hundred twenty-six thousand, six hundred forty-one".