4148424774 has 256 divisors, whose sum is σ = 11010048000. Its totient is φ = 1146337920.

The previous prime is 4148424757. The next prime is 4148424781. The reversal of 4148424774 is 4774248414.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 32664699 + ... + 32664825.

It is an arithmetic number, because the mean of its divisors is an integer number (43008000).

Almost surely, 2^4148424774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148424774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505024000).

4148424774 is an abundant number, since it is smaller than the sum of its proper divisors (6861623226).

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

4148424774 is a wasteful number, since it uses less digits than its factorization.

4148424774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 802816, while the sum is 45.

The square root of 4148424774 is about 64408.2663483500. The cubic root of 4148424774 is about 1606.7972251379.

The spelling of 4148424774 in words is "four billion, one hundred forty-eight million, four hundred twenty-four thousand, seven hundred seventy-four".