4024220431104 has 144 divisors (see below), whose sum is σ = 11901314275200. Its totient is φ = 1341295617024.

The previous prime is 4024220430941. The next prime is 4024220431111. The reversal of 4024220431104 is 4011340224204.

4024220431104 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 220 + 431 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4024220431104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164624707 + ... + 164649149.

It is an arithmetic number, because the mean of its divisors is an integer number (82648015800).

Almost surely, 2^{4024220431104} is an apocalyptic number.

It is an amenable number.

4024220431104 is an abundant number, since it is smaller than the sum of its proper divisors (7877093844096).

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

4024220431104 is a wasteful number, since it uses less digits than its factorization.

4024220431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48287 (or 48267 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4024220431104 its reverse (4011340224204), we get a palindrome (8035560655308).

The spelling of 4024220431104 in words is "four trillion, twenty-four billion, two hundred twenty million, four hundred thirty-one thousand, one hundred four".