1105540275840 has 1024 divisors, whose sum is σ = 4761779097600. Its totient is φ = 210691031040.

The previous prime is 1105540275803. The next prime is 1105540275841. The reversal of 1105540275840 is 485720455011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1105540275792 and 1105540275801.

It is not an unprimeable number, because it can be changed into a prime (1105540275841) 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, 313271196 + ... + 313274724.

It is an arithmetic number, because the mean of its divisors is an integer number (4650174900).

Almost surely, 2^{1105540275840} is an apocalyptic number.

1105540275840 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 1105540275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380889548800).

1105540275840 is an abundant number, since it is smaller than the sum of its proper divisors (3656238821760).

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

1105540275840 is a wasteful number, since it uses less digits than its factorization.

1105540275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 1105540275840 in words is "one trillion, one hundred five billion, five hundred forty million, two hundred seventy-five thousand, eight hundred forty".