1017749975040 has 832 divisors, whose sum is σ = 3863740569600. Its totient is φ = 253402546176.

The previous prime is 1017749974993. The next prime is 1017749975041. The reversal of 1017749975040 is 405799477101.

It is a happy number.

1017749975040 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 7 + 49 + 97 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1017749975041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766954857 + ... + 766956183.

Almost surely, 2^{1017749975040} is an apocalyptic number.

1017749975040 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 1017749975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931870284800).

1017749975040 is an abundant number, since it is smaller than the sum of its proper divisors (2845990594560).

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

1017749975040 is a wasteful number, since it uses less digits than its factorization.

1017749975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1017749975040 in words is "one trillion, seventeen billion, seven hundred forty-nine million, nine hundred seventy-five thousand, forty".