272146195440 has 640 divisors, whose sum is σ = 1136298700800. Its totient is φ = 58520309760.

The previous prime is 272146195439. The next prime is 272146195441. The reversal of 272146195440 is 44591641272.

272146195440 is a `hidden beast` number, since 2 + 7 + 2 + 14 + 6 + 195 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (272146195439) and next prime (272146195441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272146195441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21206946 + ... + 21219774.

It is an arithmetic number, because the mean of its divisors is an integer number (1775466720).

Almost surely, 2^272146195440 is an apocalyptic number.

272146195440 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 272146195440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568149350400).

272146195440 is an abundant number, since it is smaller than the sum of its proper divisors (864152505360).

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

272146195440 is a wasteful number, since it uses less digits than its factorization.

272146195440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 272146195440 in words is "two hundred seventy-two billion, one hundred forty-six million, one hundred ninety-five thousand, four hundred forty".