4002421312 has 112 divisors (see below), whose sum is σ = 8497062000. Its totient is φ = 1867120640.

The previous prime is 4002421303. The next prime is 4002421327. The reversal of 4002421312 is 2131242004.

It can be written as a sum of positive squares in 8 ways, for example, as 1040449536 + 2961971776 = 32256^2 + 54424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4002421312.

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, 11338128 + ... + 11338480.

It is an arithmetic number, because the mean of its divisors is an integer number (75866625).

Almost surely, 2^4002421312 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 4002421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248531000).

4002421312 is an abundant number, since it is smaller than the sum of its proper divisors (4494640688).

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

4002421312 is a wasteful number, since it uses less digits than its factorization.

4002421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4002421312 is about 63264.6924595386. The cubic root of 4002421312 is about 1587.7212867958.

Adding to 4002421312 its reverse (2131242004), we get a palindrome (6133663316).

The spelling of 4002421312 in words is "four billion, two million, four hundred twenty-one thousand, three hundred twelve".