1100856083440 has 80 divisors (see below), whose sum is σ = 2671759130400. Its totient is φ = 421417589760.

The previous prime is 1100856083423. The next prime is 1100856083441. The reversal of 1100856083440 is 443806580011.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1100856083393 and 1100856083402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100856083441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2867890 + ... + 3229009.

It is an arithmetic number, because the mean of its divisors is an integer number (33396989130).

Almost surely, 2^{1100856083440} is an apocalyptic number.

1100856083440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100856083440 is an abundant number, since it is smaller than the sum of its proper divisors (1570903046960).

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

1100856083440 is a wasteful number, since it uses less digits than its factorization.

1100856083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097010 (or 6097004 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1100856083440 in words is "one trillion, one hundred billion, eight hundred fifty-six million, eighty-three thousand, four hundred forty".