1017414315040 has 24 divisors (see below), whose sum is σ = 2403641319660. Its totient is φ = 406965725952.

The previous prime is 1017414314951. The next prime is 1017414315061. The reversal of 1017414315040 is 405134147101.

It can be written as a sum of positive squares in 2 ways, for example, as 878276362896 + 139137952144 = 937164^2 + 373012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1017414314993 and 1017414315011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3179419575 + ... + 3179419894.

Almost surely, 2^{1017414315040} is an apocalyptic number.

1017414315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1017414315040 is an abundant number, since it is smaller than the sum of its proper divisors (1386227004620).

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

1017414315040 is an equidigital number, since it uses as much as digits as its factorization.

1017414315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358839484 (or 6358839476 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 1017414315040 in words is "one trillion, seventeen billion, four hundred fourteen million, three hundred fifteen thousand, forty".