1617320309440 has 224 divisors, whose sum is σ = 4224141757440. Its totient is φ = 584934912000.

The previous prime is 1617320309359. The next prime is 1617320309441. The reversal of 1617320309440 is 449030237161.

It is a super-3 number, since 3×1617320309440³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1617320309393 and 1617320309402.

It is not an unprimeable number, because it can be changed into a prime (1617320309441) 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, 850772490 + ... + 850774390.

Almost surely, 2^{1617320309440} is an apocalyptic number.

1617320309440 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 1617320309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112070878720).

1617320309440 is an abundant number, since it is smaller than the sum of its proper divisors (2606821448000).

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

1617320309440 is a wasteful number, since it uses less digits than its factorization.

1617320309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 1617320309440 in words is "one trillion, six hundred seventeen billion, three hundred twenty million, three hundred nine thousand, four hundred forty".