4146412032 has 480 divisors, whose sum is σ = 14844466560. Its totient is φ = 1133180928.

The previous prime is 4146412031. The next prime is 4146412033. The reversal of 4146412032 is 2302146414.

4146412032 = 208³ + 209³ + ... + 368³.

It is a happy number.

4146412032 is a `hidden beast` number, since 4 + 14 + 641 + 2 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4146412031) and next prime (4146412033).

It is a super-2 number, since 2×4146412032² = 34385465478228738048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4146411987 and 4146412005.

It is not an unprimeable number, because it can be changed into a prime (4146412031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180278773 + ... + 180278795.

It is an arithmetic number, because the mean of its divisors is an integer number (30925972).

Almost surely, 2^4146412032 is an apocalyptic number.

4146412032 is a gapful number since it is divisible by the number (42) 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 4146412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422233280).

4146412032 is an abundant number, since it is smaller than the sum of its proper divisors (10698054528).

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

4146412032 is an frugal number, since it uses more digits than its factorization.

4146412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4146412032 is about 64392.6395793805. The cubic root of 4146412032 is about 1606.5373199437.

Adding to 4146412032 its reverse (2302146414), we get a palindrome (6448558446).

The spelling of 4146412032 in words is "four billion, one hundred forty-six million, four hundred twelve thousand, thirty-two".