4272027505200 has 1080 divisors, whose sum is σ = 19664788747968. Its totient is φ = 848322478080.

The previous prime is 4272027505147. The next prime is 4272027505219. The reversal of 4272027505200 is 25057202724.

4272027505200 is a `hidden beast` number, since 42 + 7 + 20 + 2 + 75 + 0 + 520 + 0 = 666.

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

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 215 ways as a sum of consecutive naturals, for example, 38929609 + ... + 39039191.

Almost surely, 2^{4272027505200} is an apocalyptic number.

4272027505200 is a gapful number since it is divisible by the number (40) 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 4272027505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832394373984).

4272027505200 is an abundant number, since it is smaller than the sum of its proper divisors (15392761242768).

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

4272027505200 is a wasteful number, since it uses less digits than its factorization.

4272027505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109651 (or 109630 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 4272027505200 in words is "four trillion, two hundred seventy-two billion, twenty-seven million, five hundred five thousand, two hundred".