1106616505040 has 80 divisors (see below), whose sum is σ = 2586846931200. Its totient is φ = 440246062080.

The previous prime is 1106616505021. The next prime is 1106616505073. The reversal of 1106616505040 is 405056166011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44197325 + ... + 44222355.

It is an arithmetic number, because the mean of its divisors is an integer number (32335586640).

Almost surely, 2^{1106616505040} is an apocalyptic number.

1106616505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106616505040 is an abundant number, since it is smaller than the sum of its proper divisors (1480230426160).

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

1106616505040 is a wasteful number, since it uses less digits than its factorization.

1106616505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28020 (or 28014 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 1106616505040 in words is "one trillion, one hundred six billion, six hundred sixteen million, five hundred five thousand, forty".