4006224226004 has 288 divisors, whose sum is σ = 9642380525568. Its totient is φ = 1416926649600.

The previous prime is 4006224225961. The next prime is 4006224226009.

4006224226004 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006224226009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1447857029 + ... + 1447859795.

It is an arithmetic number, because the mean of its divisors is an integer number (33480487936).

Almost surely, 2^{4006224226004} is an apocalyptic number.

4006224226004 is a gapful number since it is divisible by the number (44) 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 4006224226004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821190262784).

4006224226004 is an abundant number, since it is smaller than the sum of its proper divisors (5636156299564).

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

4006224226004 is a wasteful number, since it uses less digits than its factorization.

4006224226004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 4006224226004 in words is "four trillion, six billion, two hundred twenty-four million, two hundred twenty-six thousand, four".