1017863941040 has 80 divisors (see below), whose sum is σ = 2404662044160. Its totient is φ = 400600062720.

The previous prime is 1017863941033. The next prime is 1017863941079. The reversal of 1017863941040 is 401493687101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1017863940982 and 1017863941000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4493705 + ... + 4714775.

It is an arithmetic number, because the mean of its divisors is an integer number (30058275552).

Almost surely, 2^{1017863941040} is an apocalyptic number.

1017863941040 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 1017863941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202331022080).

1017863941040 is an abundant number, since it is smaller than the sum of its proper divisors (1386798103120).

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

1017863941040 is a wasteful number, since it uses less digits than its factorization.

1017863941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222010 (or 222004 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 1017863941040 in words is "one trillion, seventeen billion, eight hundred sixty-three million, nine hundred forty-one thousand, forty".