34315042440 has 128 divisors (see below), whose sum is σ = 117808369920. Its totient is φ = 7832985600.

The previous prime is 34315042403. The next prime is 34315042469. The reversal of 34315042440 is 4424051343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34315042398 and 34315042407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612400 + ... + 666080.

It is an arithmetic number, because the mean of its divisors is an integer number (920377890).

Almost surely, 2^34315042440 is an apocalyptic number.

34315042440 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 34315042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58904184960).

34315042440 is an abundant number, since it is smaller than the sum of its proper divisors (83493327480).

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

34315042440 is a wasteful number, since it uses less digits than its factorization.

34315042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54463 (or 54459 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34315042440 its reverse (4424051343), we get a palindrome (38739093783).

The spelling of 34315042440 in words is "thirty-four billion, three hundred fifteen million, forty-two thousand, four hundred forty".