27850429440 has 264 divisors, whose sum is σ = 97281300480. Its totient is φ = 7366754304.

The previous prime is 27850429381. The next prime is 27850429471. The reversal of 27850429440 is 4492405872.

27850429440 is a `hidden beast` number, since 278 + 50 + 4 + 294 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5849781 + ... + 5854539.

Almost surely, 2^27850429440 is an apocalyptic number.

27850429440 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 27850429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48640650240).

27850429440 is an abundant number, since it is smaller than the sum of its proper divisors (69430871040).

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

27850429440 is a wasteful number, since it uses less digits than its factorization.

27850429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27850429440 in words is "twenty-seven billion, eight hundred fifty million, four hundred twenty-nine thousand, four hundred forty".