345115413440 has 224 divisors, whose sum is σ = 954691146240. Its totient is φ = 116380053504.

The previous prime is 345115413427. The next prime is 345115413449. The reversal of 345115413440 is 44314511543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 345115413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345115413449) 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, 128917382 + ... + 128920058.

Almost surely, 2^345115413440 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 345115413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477345573120).

345115413440 is an abundant number, since it is smaller than the sum of its proper divisors (609575732800).

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

345115413440 is a wasteful number, since it uses less digits than its factorization.

345115413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 345115413440 its reverse (44314511543), we get a palindrome (389429924983).

The spelling of 345115413440 in words is "three hundred forty-five billion, one hundred fifteen million, four hundred thirteen thousand, four hundred forty".