34014443040 has 144 divisors (see below), whose sum is σ = 116488748376. Its totient is φ = 9038131200.

The previous prime is 34014443039. The next prime is 34014443059. The reversal of 34014443040 is 4034441043.

34014443040 is a `hidden beast` number, since 340 + 14 + 4 + 4 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20040366096 + 13974076944 = 141564^2 + 118212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34014442995 and 34014443013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362610 + ... + 446670.

Almost surely, 2^34014443040 is an apocalyptic number.

34014443040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58244374188).

34014443040 is an abundant number, since it is smaller than the sum of its proper divisors (82474305336).

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

34014443040 is a wasteful number, since it uses less digits than its factorization.

34014443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84363 (or 84352 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34014443040 its reverse (4034441043), we get a palindrome (38048884083).

The spelling of 34014443040 in words is "thirty-four billion, fourteen million, four hundred forty-three thousand, forty".