4016421552 has 480 divisors, whose sum is σ = 13593415680. Its totient is φ = 1008184320.

The previous prime is 4016421517. The next prime is 4016421587. The reversal of 4016421552 is 2551246104.

It is an interprime number because it is at equal distance from previous prime (4016421517) and next prime (4016421587).

It is a super-2 number, since 2×4016421552² = 32263284166740177408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38994333 + ... + 38994435.

It is an arithmetic number, because the mean of its divisors is an integer number (28319616).

Almost surely, 2^4016421552 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 4016421552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796707840).

4016421552 is an abundant number, since it is smaller than the sum of its proper divisors (9576994128).

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

4016421552 is a wasteful number, since it uses less digits than its factorization.

4016421552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4016421552 is about 63375.2439995303. The cubic root of 4016421552 is about 1589.5703850962.

Adding to 4016421552 its reverse (2551246104), we get a palindrome (6567667656).

It can be divided in two parts, 40164 and 21552, that added together give a palindrome (61716).

The spelling of 4016421552 in words is "four billion, sixteen million, four hundred twenty-one thousand, five hundred fifty-two".