27401409420 has 192 divisors, whose sum is σ = 97084624896. Its totient is φ = 5608753920.

The previous prime is 27401409401. The next prime is 27401409433. The reversal of 27401409420 is 2490410472.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 265279 + ... + 353801.

It is an arithmetic number, because the mean of its divisors is an integer number (505649088).

Almost surely, 2^27401409420 is an apocalyptic number.

27401409420 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 27401409420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48542312448).

27401409420 is an abundant number, since it is smaller than the sum of its proper divisors (69683215476).

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

27401409420 is a wasteful number, since it uses less digits than its factorization.

27401409420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88620 (or 88618 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 27401409420 its reverse (2490410472), we get a palindrome (29891819892).

The spelling of 27401409420 in words is "twenty-seven billion, four hundred one million, four hundred nine thousand, four hundred twenty".