4147420368 has 480 divisors, whose sum is σ = 14534069760. Its totient is φ = 1006387200.

The previous prime is 4147420363. The next prime is 4147420369. The reversal of 4147420368 is 8630247414.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147420363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41063518 + ... + 41063618.

It is an arithmetic number, because the mean of its divisors is an integer number (30279312).

Almost surely, 2^4147420368 is an apocalyptic number.

4147420368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4147420368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267034880).

4147420368 is an abundant number, since it is smaller than the sum of its proper divisors (10386649392).

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

4147420368 is a wasteful number, since it uses less digits than its factorization.

4147420368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4147420368 is about 64400.4686939466. The cubic root of 4147420368 is about 1606.6675367920.

The spelling of 4147420368 in words is "four billion, one hundred forty-seven million, four hundred twenty thousand, three hundred sixty-eight".