1106071546440 has 128 divisors (see below), whose sum is σ = 3792757489920. Its totient is φ = 252782208000.

The previous prime is 1106071546427. The next prime is 1106071546453. The reversal of 1106071546440 is 446451706011.

It is an interprime number because it is at equal distance from previous prime (1106071546427) and next prime (1106071546453).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417390 + ... + 6587490.

It is an arithmetic number, because the mean of its divisors is an integer number (29630917890).

Almost surely, 2^{1106071546440} is an apocalyptic number.

1106071546440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106071546440 is an abundant number, since it is smaller than the sum of its proper divisors (2686685943480).

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

1106071546440 is a wasteful number, since it uses less digits than its factorization.

1106071546440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177863 (or 177859 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1106071546440 in words is "one trillion, one hundred six billion, seventy-one million, five hundred forty-six thousand, four hundred forty".