34342440403120 has 160 divisors (see below), whose sum is σ = 81741453926400. Its totient is φ = 13414637795328.

The previous prime is 34342440403087. The next prime is 34342440403153. The reversal of 34342440403120 is 2130404424343.

It is an interprime number because it is at equal distance from previous prime (34342440403087) and next prime (34342440403153).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877428511 + ... + 877467649.

It is an arithmetic number, because the mean of its divisors is an integer number (510884087040).

Almost surely, 2^{34342440403120} 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 34342440403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40870726963200).

34342440403120 is an abundant number, since it is smaller than the sum of its proper divisors (47399013523280).

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

34342440403120 is a wasteful number, since it uses less digits than its factorization.

34342440403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40635 (or 40629 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34342440403120 its reverse (2130404424343), we get a palindrome (36472844827463).

The spelling of 34342440403120 in words is "thirty-four trillion, three hundred forty-two billion, four hundred forty million, four hundred three thousand, one hundred twenty".