4004022420 has 72 divisors (see below), whose sum is σ = 12173441280. Its totient is φ = 1065286080.

The previous prime is 4004022419. The next prime is 4004022469. The reversal of 4004022420 is 242204004.

4004022420 is a `hidden beast` number, since 400 + 40 + 224 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4004022393 and 4004022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53685 + ... + 104355.

Almost surely, 2^4004022420 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 4004022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086720640).

4004022420 is an abundant number, since it is smaller than the sum of its proper divisors (8169418860).

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

4004022420 is a wasteful number, since it uses less digits than its factorization.

4004022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51125 (or 51120 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4004022420 is about 63277.3452350839. The cubic root of 4004022420 is about 1587.9329731854.

Adding to 4004022420 its reverse (242204004), we get a palindrome (4246226424).

The spelling of 4004022420 in words is "four billion, four million, twenty-two thousand, four hundred twenty".