4146071424 has 128 divisors (see below), whose sum is σ = 12211896960. Its totient is φ = 1235712000.

The previous prime is 4146071411. The next prime is 4146071437. The reversal of 4146071424 is 4241706414.

It is an interprime number because it is at equal distance from previous prime (4146071411) and next prime (4146071437).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 249619 + ... + 265709.

It is an arithmetic number, because the mean of its divisors is an integer number (95405445).

Almost surely, 2^4146071424 is an apocalyptic number.

4146071424 is a gapful number since it is divisible by the number (44) 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 4146071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105948480).

4146071424 is an abundant number, since it is smaller than the sum of its proper divisors (8065825536).

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

4146071424 is a wasteful number, since it uses less digits than its factorization.

4146071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16180 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4146071424 is about 64389.9947507375. The cubic root of 4146071424 is about 1606.4933289427.

Adding to 4146071424 its reverse (4241706414), we get a palindrome (8387777838).

The spelling of 4146071424 in words is "four billion, one hundred forty-six million, seventy-one thousand, four hundred twenty-four".