27441167040 has 280 divisors, whose sum is σ = 111558519072. Its totient is φ = 6272225280.

The previous prime is 27441167009. The next prime is 27441167041. The reversal of 27441167040 is 4076114472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

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 = 27441166986 and 27441167004.

It is not an unprimeable number, because it can be changed into a prime (27441167041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105820 + ... + 257060.

Almost surely, 2^27441167040 is an apocalyptic number.

27441167040 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 27441167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55779259536).

27441167040 is an abundant number, since it is smaller than the sum of its proper divisors (84117352032).

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

27441167040 is a wasteful number, since it uses less digits than its factorization.

27441167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151277 (or 151258 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

It can be divided in two parts, 27441 and 167040, that added together give a 4-th power (194481 = 21⁴).

The spelling of 27441167040 in words is "twenty-seven billion, four hundred forty-one million, one hundred sixty-seven thousand, forty".