1101071932740 has 144 divisors (see below), whose sum is σ = 3808413646128. Its totient is φ = 255089958912.

The previous prime is 1101071932717. The next prime is 1101071932787. The reversal of 1101071932740 is 472391701011.

It can be written as a sum of positive squares in 8 ways, for example, as 20673838656 + 1080398094084 = 143784^2 + 1039422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1101071932695 and 1101071932704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13799737 + ... + 13879296.

It is an arithmetic number, because the mean of its divisors is an integer number (26447316987).

Almost surely, 2^{1101071932740} is an apocalyptic number.

1101071932740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101071932740 is an abundant number, since it is smaller than the sum of its proper divisors (2707341713388).

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

1101071932740 is a wasteful number, since it uses less digits than its factorization.

1101071932740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27679078 (or 27679073 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1101071932740 in words is "one trillion, one hundred one billion, seventy-one million, nine hundred thirty-two thousand, seven hundred forty".