34213410040 has 128 divisors (see below), whose sum is σ = 80562081600. Its totient is φ = 13060526080.

The previous prime is 34213410031. The next prime is 34213410043. The reversal of 34213410040 is 4001431243.

It is a junction number, because it is equal to n+sod(n) for n = 34213409993 and 34213410020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213410043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73261887 + ... + 73262353.

Almost surely, 2^34213410040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34213410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40281040800).

34213410040 is an abundant number, since it is smaller than the sum of its proper divisors (46348671560).

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

34213410040 is a wasteful number, since it uses less digits than its factorization.

34213410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34213410040 its reverse (4001431243), we get a palindrome (38214841283).

The spelling of 34213410040 in words is "thirty-four billion, two hundred thirteen million, four hundred ten thousand, forty".