1109400566040 has 384 divisors, whose sum is σ = 3945329519040. Its totient is φ = 268719095808.

The previous prime is 1109400565993. The next prime is 1109400566107. The reversal of 1109400566040 is 406650049011.

1109400566040 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 40 + 0 + 5 + 6 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1109400565986 and 1109400566004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99823524 + ... + 99834636.

Almost surely, 2^{1109400566040} is an apocalyptic number.

1109400566040 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 1109400566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972664759520).

1109400566040 is an abundant number, since it is smaller than the sum of its proper divisors (2835928953000).

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

1109400566040 is a wasteful number, since it uses less digits than its factorization.

1109400566040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11483 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1109400566040 in words is "one trillion, one hundred nine billion, four hundred million, five hundred sixty-six thousand, forty".