27405323614240 has 768 divisors, whose sum is σ = 78614090956800. Its totient is φ = 8897133772800.

The previous prime is 27405323614211. The next prime is 27405323614303. The reversal of 27405323614240 is 4241632350472.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22971771084 + ... + 22971772276.

It is an arithmetic number, because the mean of its divisors is an integer number (102362097600).

Almost surely, 2^{27405323614240} is an apocalyptic number.

27405323614240 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 27405323614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39307045478400).

27405323614240 is an abundant number, since it is smaller than the sum of its proper divisors (51208767342560).

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

27405323614240 is a wasteful number, since it uses less digits than its factorization.

27405323614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 27405323614240 in words is "twenty-seven trillion, four hundred five billion, three hundred twenty-three million, six hundred fourteen thousand, two hundred forty".