1111011893040 has 640 divisors, whose sum is σ = 4203399536640. Its totient is φ = 237116104704.

The previous prime is 1111011893029. The next prime is 1111011893041. The reversal of 1111011893040 is 403981101111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1111011892989 and 1111011893007.

It is not an unprimeable number, because it can be changed into a prime (1111011893041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 775304164 + ... + 775305596.

It is an arithmetic number, because the mean of its divisors is an integer number (6567811776).

Almost surely, 2^{1111011893040} is an apocalyptic number.

1111011893040 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 1111011893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101699768320).

1111011893040 is an abundant number, since it is smaller than the sum of its proper divisors (3092387643600).

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

1111011893040 is a wasteful number, since it uses less digits than its factorization.

1111011893040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 30.

Adding to 1111011893040 its reverse (403981101111), we get a palindrome (1514992994151).

The spelling of 1111011893040 in words is "one trillion, one hundred eleven billion, eleven million, eight hundred ninety-three thousand, forty".