1617220307440 has 160 divisors (see below), whose sum is σ = 3996568667520. Its totient is φ = 606492229632.

The previous prime is 1617220307419. The next prime is 1617220307447. The reversal of 1617220307440 is 447030227161.

It is a self number, because there is not a number n which added to its sum of digits gives 1617220307440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617220307447) 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, 669101112 + ... + 669103528.

It is an arithmetic number, because the mean of its divisors is an integer number (24978554172).

Almost surely, 2^{1617220307440} is an apocalyptic number.

1617220307440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1617220307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998284333760).

1617220307440 is an abundant number, since it is smaller than the sum of its proper divisors (2379348360080).

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

1617220307440 is a wasteful number, since it uses less digits than its factorization.

1617220307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 1617220307440 in words is "one trillion, six hundred seventeen billion, two hundred twenty million, three hundred seven thousand, four hundred forty".