1597896509440 has 1536 divisors, whose sum is σ = 5429056389120. Its totient is φ = 435997900800.

The previous prime is 1597896509437. The next prime is 1597896509441. The reversal of 1597896509440 is 449056987951.

It is a super-2 number, since 2×1597896509440² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1597896509441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21888993244 + ... + 21888993316.

It is an arithmetic number, because the mean of its divisors is an integer number (3534541920).

Almost surely, 2^{1597896509440} is an apocalyptic number.

1597896509440 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 1597896509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714528194560).

1597896509440 is an abundant number, since it is smaller than the sum of its proper divisors (3831159879680).

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

1597896509440 is a wasteful number, since it uses less digits than its factorization.

1597896509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 67.

The spelling of 1597896509440 in words is "one trillion, five hundred ninety-seven billion, eight hundred ninety-six million, five hundred nine thousand, four hundred forty".