10701043743440 has 40 divisors (see below), whose sum is σ = 24972417187560. Its totient is φ = 4264505156096.

The previous prime is 10701043743391. The next prime is 10701043743461. The reversal of 10701043743440 is 4434734010701.

It can be written as a sum of positive squares in 4 ways, for example, as 1355892567184 + 9345151176256 = 1164428^2 + 3056984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10701043743440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10701043743394 and 10701043743403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248608679 + ... + 248651718.

It is an arithmetic number, because the mean of its divisors is an integer number (624310429689).

Almost surely, 2^{10701043743440} is an apocalyptic number.

10701043743440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10701043743440 is an abundant number, since it is smaller than the sum of its proper divisors (14271373444120).

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

10701043743440 is a wasteful number, since it uses less digits than its factorization.

10701043743440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497260679 (or 497260673 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 10701043743440 in words is "ten trillion, seven hundred one billion, forty-three million, seven hundred forty-three thousand, four hundred forty".