4072218624 has 420 divisors, whose sum is σ = 13594908294. Its totient is φ = 1210318848.

The previous prime is 4072218613. The next prime is 4072218649. The reversal of 4072218624 is 4268122704.

4072218624 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 21 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2994278400 + 1077940224 = 54720^2 + 32832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 214327287 + ... + 214327305.

Almost surely, 2^4072218624 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 4072218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797454147).

4072218624 is an abundant number, since it is smaller than the sum of its proper divisors (9522689670).

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

4072218624 is an equidigital number, since it uses as much as digits as its factorization.

4072218624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4072218624 is about 63813.9375371870. The cubic root of 4072218624 is about 1596.8974544372.

The spelling of 4072218624 in words is "four billion, seventy-two million, two hundred eighteen thousand, six hundred twenty-four".