1101703861440 has 3360 divisors, whose sum is σ = 5356154327040. Its totient is φ = 209616076800.

The previous prime is 1101703861429. The next prime is 1101703861441. The reversal of 1101703861440 is 441683071011.

1101703861440 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 7 + 0 + 38 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 = 1101703861395 and 1101703861404.

It is not an unprimeable number, because it can be changed into a prime (1101703861441) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 18060719010 + ... + 18060719070.

Almost surely, 2^{1101703861440} is an apocalyptic number.

1101703861440 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 1101703861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678077163520).

1101703861440 is an abundant number, since it is smaller than the sum of its proper divisors (4254450465600).

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

1101703861440 is a wasteful number, since it uses less digits than its factorization.

1101703861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1101703861440 in words is "one trillion, one hundred one billion, seven hundred three million, eight hundred sixty-one thousand, four hundred forty".