4220364416004 has 72 divisors (see below), whose sum is σ = 11716081977600. Its totient is φ = 1270315080000.

The previous prime is 4220364415987. The next prime is 4220364416077. The reversal of 4220364416004 is 4006144630224.

4220364416004 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 3 + 6 + 4 + 41 + 600 + 4 = 666.

It is a super-2 number, since 2×4220364416004² (a number of 26 digits) contains 22 as substring.

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 4220364416004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35704372 + ... + 35822379.

It is an arithmetic number, because the mean of its divisors is an integer number (162723360800).

Almost surely, 2^{4220364416004} is an apocalyptic number.

4220364416004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4220364416004 is an abundant number, since it is smaller than the sum of its proper divisors (7495717561596).

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

4220364416004 is a wasteful number, since it uses less digits than its factorization.

4220364416004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71526921 (or 71526916 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4220364416004 in words is "four trillion, two hundred twenty billion, three hundred sixty-four million, four hundred sixteen thousand, four".