34400412144 has 60 divisors (see below), whose sum is σ = 110026718256. Its totient is φ = 9828688896.

The previous prime is 34400412127. The next prime is 34400412173. The reversal of 34400412144 is 44121400443.

34400412144 is a `hidden beast` number, since 3 + 4 + 400 + 41 + 214 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17062689 + ... + 17064704.

Almost surely, 2^34400412144 is an apocalyptic number.

It is an amenable number.

34400412144 is an abundant number, since it is smaller than the sum of its proper divisors (75626306112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34400412144 is a wasteful number, since it uses less digits than its factorization.

34400412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34127414 (or 34127405 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34400412144 its reverse (44121400443), we get a palindrome (78521812587).

The spelling of 34400412144 in words is "thirty-four billion, four hundred million, four hundred twelve thousand, one hundred forty-four".