1120566216640 has 112 divisors (see below), whose sum is σ = 2877610216320. Its totient is φ = 413170974720.

The previous prime is 1120566216607. The next prime is 1120566216673. The reversal of 1120566216640 is 466126650211.

It is an interprime number because it is at equal distance from previous prime (1120566216607) and next prime (1120566216673).

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 = 1120566216593 and 1120566216602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2803720 + ... + 3178360.

It is an arithmetic number, because the mean of its divisors is an integer number (25692948360).

Almost surely, 2^{1120566216640} is an apocalyptic number.

1120566216640 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 1120566216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438805108160).

1120566216640 is an abundant number, since it is smaller than the sum of its proper divisors (1757043999680).

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

1120566216640 is a wasteful number, since it uses less digits than its factorization.

1120566216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375390 (or 375380 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 1120566216640 in words is "one trillion, one hundred twenty billion, five hundred sixty-six million, two hundred sixteen thousand, six hundred forty".