1106006426240 has 64 divisors (see below), whose sum is σ = 2705536136160. Its totient is φ = 432114127872.

The previous prime is 1106006426221. The next prime is 1106006426249. The reversal of 1106006426240 is 426246006011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1106006426197 and 1106006426206.

It is not an unprimeable number, because it can be changed into a prime (1106006426249) 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 7 ways as a sum of consecutive naturals, for example, 20067074 + ... + 20122113.

Almost surely, 2^{1106006426240} is an apocalyptic number.

1106006426240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106006426240 is an abundant number, since it is smaller than the sum of its proper divisors (1599529709920).

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

1106006426240 is an equidigital number, since it uses as much as digits as its factorization.

1106006426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40189249 (or 40189237 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 1106006426240 in words is "one trillion, one hundred six billion, six million, four hundred twenty-six thousand, two hundred forty".