4021144842024 has 192 divisors, whose sum is σ = 11261331244800. Its totient is φ = 1295426764800.

The previous prime is 4021144842017. The next prime is 4021144842083. The reversal of 4021144842024 is 4202484411204.

4021144842024 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 1 + 448 + 4 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4021144842024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136152139 + ... + 136181669.

It is an arithmetic number, because the mean of its divisors is an integer number (58652766900).

Almost surely, 2^{4021144842024} 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 4021144842024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630665622400).

4021144842024 is an abundant number, since it is smaller than the sum of its proper divisors (7240186402776).

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

4021144842024 is a wasteful number, since it uses less digits than its factorization.

4021144842024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30016 (or 30009 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4021144842024 in words is "four trillion, twenty-one billion, one hundred forty-four million, eight hundred forty-two thousand, twenty-four".