3412240305440 has 96 divisors (see below), whose sum is σ = 8109640788480. Its totient is φ = 1356754406400.

The previous prime is 3412240305433. The next prime is 3412240305449. The reversal of 3412240305440 is 445030422143.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3412240305397 and 3412240305406.

It is not an unprimeable number, because it can be changed into a prime (3412240305449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18945410 + ... + 19124670.

It is an arithmetic number, because the mean of its divisors is an integer number (84475424880).

Almost surely, 2^{3412240305440} 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 3412240305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054820394240).

3412240305440 is an abundant number, since it is smaller than the sum of its proper divisors (4697400483040).

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

3412240305440 is a wasteful number, since it uses less digits than its factorization.

3412240305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179986 (or 179978 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 3412240305440 its reverse (445030422143), we get a palindrome (3857270727583).

The spelling of 3412240305440 in words is "three trillion, four hundred twelve billion, two hundred forty million, three hundred five thousand, four hundred forty".