1017315646440 has 64 divisors (see below), whose sum is σ = 3212575732800. Its totient is φ = 257006057472.

The previous prime is 1017315646397. The next prime is 1017315646441. The reversal of 1017315646440 is 446465137101.

It is a super-2 number, since 2×1017315646440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1017315646392 and 1017315646401.

It is not an unprimeable number, because it can be changed into a prime (1017315646441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223093257 + ... + 223097816.

It is an arithmetic number, because the mean of its divisors is an integer number (50196495825).

Almost surely, 2^{1017315646440} is an apocalyptic number.

1017315646440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017315646440 is an abundant number, since it is smaller than the sum of its proper divisors (2195260086360).

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

1017315646440 is a wasteful number, since it uses less digits than its factorization.

1017315646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446191106 (or 446191102 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1017315646440 in words is "one trillion, seventeen billion, three hundred fifteen million, six hundred forty-six thousand, four hundred forty".