272123656440 has 256 divisors, whose sum is σ = 857727360000. Its totient is φ = 68976230400.

The previous prime is 272123656439. The next prime is 272123656451. The reversal of 272123656440 is 44656321272.

It is a junction number, because it is equal to n+sod(n) for n = 272123656392 and 272123656401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67172415 + ... + 67176465.

It is an arithmetic number, because the mean of its divisors is an integer number (3350497500).

Almost surely, 2^272123656440 is an apocalyptic number.

272123656440 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 272123656440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428863680000).

272123656440 is an abundant number, since it is smaller than the sum of its proper divisors (585603703560).

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

272123656440 is a wasteful number, since it uses less digits than its factorization.

272123656440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 272123656440 in words is "two hundred seventy-two billion, one hundred twenty-three million, six hundred fifty-six thousand, four hundred forty".