1066428113940 has 108 divisors (see below), whose sum is σ = 3762967804596. Its totient is φ = 243754995456.

The previous prime is 1066428113903. The next prime is 1066428113941. The reversal of 1066428113940 is 493118246601.

1066428113940 is a `hidden beast` number, since 10 + 66 + 428 + 113 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 681189416964 + 385238696976 = 825342^2 + 620676^2 .

It is a super-2 number, since 2×1066428113940² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066428113941) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60446289 + ... + 60463928.

It is an arithmetic number, because the mean of its divisors is an integer number (34842294487).

Almost surely, 2^{1066428113940} is an apocalyptic number.

1066428113940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066428113940 is an abundant number, since it is smaller than the sum of its proper divisors (2696539690656).

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

1066428113940 is a wasteful number, since it uses less digits than its factorization.

1066428113940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120910246 (or 120910234 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1066428113940 in words is "one trillion, sixty-six billion, four hundred twenty-eight million, one hundred thirteen thousand, nine hundred forty".