4138571424 has 192 divisors, whose sum is σ = 12604612608. Its totient is φ = 1178496000.

The previous prime is 4138571399. The next prime is 4138571473. The reversal of 4138571424 is 4241758314.

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

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 31 ways as a sum of consecutive naturals, for example, 887499 + ... + 892149.

It is an arithmetic number, because the mean of its divisors is an integer number (65649024).

Almost surely, 2^4138571424 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 4138571424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302306304).

4138571424 is an abundant number, since it is smaller than the sum of its proper divisors (8466041184).

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

4138571424 is a wasteful number, since it uses less digits than its factorization.

4138571424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4723 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 4138571424 is about 64331.7295275045. The cubic root of 4138571424 is about 1605.5240601921.

The spelling of 4138571424 in words is "four billion, one hundred thirty-eight million, five hundred seventy-one thousand, four hundred twenty-four".