274418256420 has 864 divisors, whose sum is σ = 1138103156736. Its totient is φ = 52770009600.

The previous prime is 274418256419. The next prime is 274418256449. The reversal of 274418256420 is 24652814472.

274418256420 is a `hidden beast` number, since 2 + 7 + 4 + 4 + 1 + 82 + 564 + 2 + 0 = 666.

274418256420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 69173277 + ... + 69177243.

It is an arithmetic number, because the mean of its divisors is an integer number (1317249024).

Almost surely, 2^274418256420 is an apocalyptic number.

274418256420 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 274418256420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569051578368).

274418256420 is an abundant number, since it is smaller than the sum of its proper divisors (863684900316).

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

274418256420 is a wasteful number, since it uses less digits than its factorization.

274418256420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 274418256420 in words is "two hundred seventy-four billion, four hundred eighteen million, two hundred fifty-six thousand, four hundred twenty".