27442311721440 has 576 divisors, whose sum is σ = 108620604771840. Its totient is φ = 5700686745600.

The previous prime is 27442311721417. The next prime is 27442311721481. The reversal of 27442311721440 is 4412711324472.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27442311721392 and 27442311721401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1907165766 + ... + 1907180154.

It is an arithmetic number, because the mean of its divisors is an integer number (188577438840).

Almost surely, 2^{27442311721440} is an apocalyptic number.

27442311721440 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 27442311721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54310302385920).

27442311721440 is an abundant number, since it is smaller than the sum of its proper divisors (81178293050400).

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

27442311721440 is a wasteful number, since it uses less digits than its factorization.

27442311721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 27442311721440 in words is "twenty-seven trillion, four hundred forty-two billion, three hundred eleven million, seven hundred twenty-one thousand, four hundred forty".