110206643040 has 1152 divisors, whose sum is σ = 442707213312. Its totient is φ = 25709322240.

The previous prime is 110206643017. The next prime is 110206643047. The reversal of 110206643040 is 40346602011.

110206643040 is a `hidden beast` number, since 1 + 10 + 2 + 0 + 6 + 643 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110206642995 and 110206643013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110206643047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1327790839 + ... + 1327790921.

It is an arithmetic number, because the mean of its divisors is an integer number (384294456).

Almost surely, 2^110206643040 is an apocalyptic number.

110206643040 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 110206643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221353606656).

110206643040 is an abundant number, since it is smaller than the sum of its proper divisors (332500570272).

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

110206643040 is a wasteful number, since it uses less digits than its factorization.

110206643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 110206643040 in words is "one hundred ten billion, two hundred six million, six hundred forty-three thousand, forty".