34441013040 has 320 divisors, whose sum is σ = 123544092672. Its totient is φ = 7774617600.

The previous prime is 34441013021. The next prime is 34441013063. The reversal of 34441013040 is 4031014443.

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 34441013040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58078984 + ... + 58079576.

Almost surely, 2^34441013040 is an apocalyptic number.

34441013040 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 34441013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61772046336).

34441013040 is an abundant number, since it is smaller than the sum of its proper divisors (89103079632).

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

34441013040 is a wasteful number, since it uses less digits than its factorization.

34441013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34441013040 its reverse (4031014443), we get a palindrome (38472027483).

The spelling of 34441013040 in words is "thirty-four billion, four hundred forty-one million, thirteen thousand, forty".