4038226153416 has 1024 divisors, whose sum is σ = 14627837952000. Its totient is φ = 1003708661760.

The previous prime is 4038226153399. The next prime is 4038226153439. The reversal of 4038226153416 is 6143516228304.

4038226153416 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 22 + 615 + 3 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×4038226153416² (a number of 26 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 4573302111 + ... + 4573302993.

It is an arithmetic number, because the mean of its divisors is an integer number (14284998000).

Almost surely, 2^{4038226153416} 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 4038226153416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313918976000).

4038226153416 is an abundant number, since it is smaller than the sum of its proper divisors (10589611798584).

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

4038226153416 is a wasteful number, since it uses less digits than its factorization.

4038226153416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4038226153416 in words is "four trillion, thirty-eight billion, two hundred twenty-six million, one hundred fifty-three thousand, four hundred sixteen".