1106777077040 has 80 divisors (see below), whose sum is σ = 2689026391296. Its totient is φ = 422849222400.

The previous prime is 1106777077039. The next prime is 1106777077051. The reversal of 1106777077040 is 407707776011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1106777077040⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836195 + ... + 1706685.

Almost surely, 2^{1106777077040} is an apocalyptic number.

1106777077040 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 1106777077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344513195648).

1106777077040 is an abundant number, since it is smaller than the sum of its proper divisors (1582249314256).

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

1106777077040 is a wasteful number, since it uses less digits than its factorization.

1106777077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871218 (or 871212 counting only the distinct ones).

The product of its (nonzero) digits is 403368, while the sum is 47.

The spelling of 1106777077040 in words is "one trillion, one hundred six billion, seven hundred seventy-seven million, seventy-seven thousand, forty".