1111100001040 has 20 divisors (see below), whose sum is σ = 2583307502604. Its totient is φ = 444440000384.

The previous prime is 1111100000977. The next prime is 1111100001041. The reversal of 1111100001040 is 401000011111.

It can be written as a sum of positive squares in 2 ways, for example, as 583396550416 + 527703450624 = 763804^2 + 726432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1111100001040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1111100001041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6944374927 + ... + 6944375086.

Almost surely, 2^{1111100001040} is an apocalyptic number.

1111100001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111100001040 is an abundant number, since it is smaller than the sum of its proper divisors (1472207501564).

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

1111100001040 is a wasteful number, since it uses less digits than its factorization.

1111100001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13888750026 (or 13888750020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1111100001040 its reverse (401000011111), we get a palindrome (1512100012151).

The spelling of 1111100001040 in words is "one trillion, one hundred eleven billion, one hundred million, one thousand, forty".