27361333440 has 1008 divisors, whose sum is σ = 116867342592. Its totient is φ = 6071998464.

The previous prime is 27361333409. The next prime is 27361333487. The reversal of 27361333440 is 4433316372.

27361333440 is a `hidden beast` number, since 2 + 7 + 3 + 613 + 3 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×27361333440² (a number of 22 digits) contains 22 as substring.

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 = 27361333395 and 27361333404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163840237 + ... + 163840403.

It is an arithmetic number, because the mean of its divisors is an integer number (115939824).

Almost surely, 2^27361333440 is an apocalyptic number.

27361333440 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 27361333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433671296).

27361333440 is an abundant number, since it is smaller than the sum of its proper divisors (89506009152).

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

27361333440 is a wasteful number, since it uses less digits than its factorization.

27361333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 27361333440 in words is "twenty-seven billion, three hundred sixty-one million, three hundred thirty-three thousand, four hundred forty".