34140040440 has 256 divisors, whose sum is σ = 114605798400. Its totient is φ = 8066150400.

The previous prime is 34140040423. The next prime is 34140040453. The reversal of 34140040440 is 4404004143.

It is a super-2 number, since 2×34140040440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34140040440.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8339034 + ... + 8343126.

It is an arithmetic number, because the mean of its divisors is an integer number (447678900).

Almost surely, 2^34140040440 is an apocalyptic number.

34140040440 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 34140040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57302899200).

34140040440 is an abundant number, since it is smaller than the sum of its proper divisors (80465757960).

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

34140040440 is a wasteful number, since it uses less digits than its factorization.

34140040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34140040440 its reverse (4404004143), we get a palindrome (38544044583).

The spelling of 34140040440 in words is "thirty-four billion, one hundred forty million, forty thousand, four hundred forty".