345544435131440 has 320 divisors, whose sum is σ = 852668460547200. Its totient is φ = 130004169523200.

The previous prime is 345544435131439. The next prime is 345544435131463. The reversal of 345544435131440 is 44131534445543.

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, 128502949616 + ... + 128502952304.

It is an arithmetic number, because the mean of its divisors is an integer number (2664588939210).

Almost surely, 2^{345544435131440} 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 345544435131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426334230273600).

345544435131440 is an abundant number, since it is smaller than the sum of its proper divisors (507124025415760).

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

345544435131440 is a wasteful number, since it uses less digits than its factorization.

345544435131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 50.

Adding to 345544435131440 its reverse (44131534445543), we get a palindrome (389675969576983).

The spelling of 345544435131440 in words is "three hundred forty-five trillion, five hundred forty-four billion, four hundred thirty-five million, one hundred thirty-one thousand, four hundred forty".