27743407047040 has 128 divisors (see below), whose sum is σ = 67752082869120. Its totient is φ = 10858546913280.

The previous prime is 27743407047029. The next prime is 27743407047053. The reversal of 27743407047040 is 4074070434772.

It is a tau number, because it is divible by the number of its divisors (128).

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, 123004770 + ... + 123230110.

It is an arithmetic number, because the mean of its divisors is an integer number (529313147415).

Almost surely, 2^{27743407047040} is an apocalyptic number.

27743407047040 is a gapful number since it is divisible by the number (20) 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 27743407047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33876041434560).

27743407047040 is an abundant number, since it is smaller than the sum of its proper divisors (40008675822080).

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

27743407047040 is a wasteful number, since it uses less digits than its factorization.

27743407047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229500 (or 229488 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 49.

The spelling of 27743407047040 in words is "twenty-seven trillion, seven hundred forty-three billion, four hundred seven million, forty-seven thousand, forty".