4412227271382 has 336 divisors, whose sum is σ = 11844219546432. Its totient is φ = 1227848751360.

The previous prime is 4412227271371. The next prime is 4412227271437. The reversal of 4412227271382 is 2831727222144.

4412227271382 is a `hidden beast` number, since 4 + 41 + 2 + 227 + 2 + 7 + 1 + 382 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2967199843 + ... + 2967201329.

It is an arithmetic number, because the mean of its divisors is an integer number (35250653412).

Almost surely, 2^{4412227271382} is an apocalyptic number.

4412227271382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412227271382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922109773216).

4412227271382 is an abundant number, since it is smaller than the sum of its proper divisors (7431992275050).

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

4412227271382 is a wasteful number, since it uses less digits than its factorization.

4412227271382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2553 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 4412227271382 in words is "four trillion, four hundred twelve billion, two hundred twenty-seven million, two hundred seventy-one thousand, three hundred eighty-two".