34440014406 has 64 divisors (see below), whose sum is σ = 79792957440. Its totient is φ = 9706414080.

The previous prime is 34440014359. The next prime is 34440014407. The reversal of 34440014406 is 60441004443.

It is a super-2 number, since 2×34440014406² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440014407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1600390 + ... + 1621766.

It is an arithmetic number, because the mean of its divisors is an integer number (1246764960).

Almost surely, 2^34440014406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440014406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39896478720).

34440014406 is an abundant number, since it is smaller than the sum of its proper divisors (45352943034).

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

34440014406 is a wasteful number, since it uses less digits than its factorization.

34440014406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34440014406 its reverse (60441004443), we get a palindrome (94881018849).

The spelling of 34440014406 in words is "thirty-four billion, four hundred forty million, fourteen thousand, four hundred six".