4071268422144 has 2880 divisors, whose sum is σ = 17046143262720. Its totient is φ = 927347097600.

The previous prime is 4071268422131. The next prime is 4071268422203. The reversal of 4071268422144 is 4412248621704.

4071268422144 is a `hidden beast` number, since 407 + 1 + 2 + 6 + 84 + 22 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4071268422144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 131331239409 + ... + 131331239439.

It is an arithmetic number, because the mean of its divisors is an integer number (5918799744).

Almost surely, 2^{4071268422144} is an apocalyptic number.

4071268422144 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 4071268422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523071631360).

4071268422144 is an abundant number, since it is smaller than the sum of its proper divisors (12974874840576).

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

4071268422144 is a wasteful number, since it uses less digits than its factorization.

4071268422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 4071268422144 in words is "four trillion, seventy-one billion, two hundred sixty-eight million, four hundred twenty-two thousand, one hundred forty-four".