4004210420 has 72 divisors (see below), whose sum is σ = 9966403944. Its totient is φ = 1346951424.

The previous prime is 4004210401. The next prime is 4004210443. The reversal of 4004210420 is 240124004.

It can be written as a sum of positive squares in 4 ways, for example, as 322633444 + 3681576976 = 17962^2 + 60676^2 .

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, 13394 + ... + 90486.

It is an arithmetic number, because the mean of its divisors is an integer number (138422277).

Almost surely, 2^4004210420 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 4004210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983201972).

4004210420 is an abundant number, since it is smaller than the sum of its proper divisors (5962193524).

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

4004210420 is a wasteful number, since it uses less digits than its factorization.

4004210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77169 (or 77160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4004210420 is about 63278.8307414099. The cubic root of 4004210420 is about 1587.9578254211.

Adding to 4004210420 its reverse (240124004), we get a palindrome (4244334424).

The spelling of 4004210420 in words is "four billion, four million, two hundred ten thousand, four hundred twenty".