272454214140 has 192 divisors, whose sum is σ = 854645299200. Its totient is φ = 72054759168.

The previous prime is 272454214121. The next prime is 272454214163. The reversal of 272454214140 is 41412454272.

272454214140 is a `hidden beast` number, since 2 + 72 + 4 + 542 + 1 + 4 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272454214095 and 272454214104.

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, 118818834 + ... + 118821126.

It is an arithmetic number, because the mean of its divisors is an integer number (4451277600).

Almost surely, 2^272454214140 is an apocalyptic number.

272454214140 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 272454214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427322649600).

272454214140 is an abundant number, since it is smaller than the sum of its proper divisors (582191085060).

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

272454214140 is a wasteful number, since it uses less digits than its factorization.

272454214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 272454214140 in words is "two hundred seventy-two billion, four hundred fifty-four million, two hundred fourteen thousand, one hundred forty".