272449837440 has 960 divisors, whose sum is σ = 1094007222000. Its totient is φ = 64079216640.

The previous prime is 272449837421. The next prime is 272449837453. The reversal of 272449837440 is 44738944272.

272449837440 is a `hidden beast` number, since 2 + 72 + 44 + 98 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 780658386 + ... + 780658734.

Almost surely, 2^272449837440 is an apocalyptic number.

272449837440 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 272449837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547003611000).

272449837440 is an abundant number, since it is smaller than the sum of its proper divisors (821557384560).

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

272449837440 is a wasteful number, since it uses less digits than its factorization.

272449837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 272449837440 in words is "two hundred seventy-two billion, four hundred forty-nine million, eight hundred thirty-seven thousand, four hundred forty".