4272132735360 has 192 divisors, whose sum is σ = 16859666846880. Its totient is φ = 976487473152.

The previous prime is 4272132735323. The next prime is 4272132735449. The reversal of 4272132735360 is 635372312724.

4272132735360 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 13 + 273 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4272132735360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52937517 + ... + 53018156.

Almost surely, 2^{4272132735360} is an apocalyptic number.

4272132735360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4272132735360 is an abundant number, since it is smaller than the sum of its proper divisors (12587534111520).

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

4272132735360 is a wasteful number, since it uses less digits than its factorization.

4272132735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105955705 (or 105955690 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 4272132735360 in words is "four trillion, two hundred seventy-two billion, one hundred thirty-two million, seven hundred thirty-five thousand, three hundred sixty".