27414858240 has 1600 divisors, whose sum is σ = 130904978688. Its totient is φ = 5308416000.

The previous prime is 27414858221. The next prime is 27414858253. The reversal of 27414858240 is 4285841472.

27414858240 is a `hidden beast` number, since 27 + 4 + 1 + 4 + 8 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271434190 + ... + 271434290.

Almost surely, 2^27414858240 is an apocalyptic number.

27414858240 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 27414858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452489344).

27414858240 is an abundant number, since it is smaller than the sum of its proper divisors (103490120448).

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

27414858240 is a wasteful number, since it uses less digits than its factorization.

27414858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 27414858240 in words is "twenty-seven billion, four hundred fourteen million, eight hundred fifty-eight thousand, two hundred forty".