4114482227712 has 640 divisors, whose sum is σ = 13419392532480. Its totient is φ = 1239063920640.

The previous prime is 4114482227693. The next prime is 4114482227731. The reversal of 4114482227712 is 2177222844114.

4114482227712 is a `hidden beast` number, since 411 + 4 + 4 + 8 + 2 + 227 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4114482227693) and next prime (4114482227731).

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 63 ways as a sum of consecutive naturals, for example, 925224273 + ... + 925228719.

It is an arithmetic number, because the mean of its divisors is an integer number (20967800832).

Almost surely, 2^{4114482227712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114482227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709696266240).

4114482227712 is an abundant number, since it is smaller than the sum of its proper divisors (9304910304768).

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

4114482227712 is a wasteful number, since it uses less digits than its factorization.

4114482227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4627 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The spelling of 4114482227712 in words is "four trillion, one hundred fourteen billion, four hundred eighty-two million, two hundred twenty-seven thousand, seven hundred twelve".