34400641121 has 64 divisors (see below), whose sum is σ = 45891256320. Its totient is φ = 24979440960.

The previous prime is 34400641111. The next prime is 34400641129. The reversal of 34400641121 is 12114600443.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34400641121 is a prime.

It is a super-2 number, since 2×34400641121² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34400641129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25164380 + ... + 25165746.

It is an arithmetic number, because the mean of its divisors is an integer number (717050880).

Almost surely, 2^34400641121 is an apocalyptic number.

It is an amenable number.

34400641121 is a deficient number, since it is larger than the sum of its proper divisors (11490615199).

34400641121 is a wasteful number, since it uses less digits than its factorization.

34400641121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 34400641121 in words is "thirty-four billion, four hundred million, six hundred forty-one thousand, one hundred twenty-one".