1106304314040 has 96 divisors (see below), whose sum is σ = 3595711953600. Its totient is φ = 294996192000.

The previous prime is 1106304313999. The next prime is 1106304314081. The reversal of 1106304314040 is 404134036011.

1106304314040 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 304 + 314 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1106304313999) and next prime (1106304314081).

It is a super-2 number, since 2×1106304314040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1106304313995 and 1106304314013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6317665 + ... + 6490415.

It is an arithmetic number, because the mean of its divisors is an integer number (37455332850).

Almost surely, 2^{1106304314040} is an apocalyptic number.

1106304314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106304314040 is an abundant number, since it is smaller than the sum of its proper divisors (2489407639560).

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

1106304314040 is a wasteful number, since it uses less digits than its factorization.

1106304314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190557 (or 190550 counting only the distinct ones).

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

The spelling of 1106304314040 in words is "one trillion, one hundred six billion, three hundred four million, three hundred fourteen thousand, forty".