4145836032 has 312 divisors, whose sum is σ = 13273744848. Its totient is φ = 1238630400.

The previous prime is 4145836031. The next prime is 4145836061. The reversal of 4145836032 is 2306385414.

4145836032 is a `hidden beast` number, since 4 + 1 + 45 + 8 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145836031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19648407 + ... + 19648617.

It is an arithmetic number, because the mean of its divisors is an integer number (42544054).

Almost surely, 2^4145836032 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 4145836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636872424).

4145836032 is an abundant number, since it is smaller than the sum of its proper divisors (9127908816).

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

4145836032 is a wasteful number, since it uses less digits than its factorization.

4145836032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4145836032 is about 64388.1668631745. The cubic root of 4145836032 is about 1606.4629256367.

The spelling of 4145836032 in words is "four billion, one hundred forty-five million, eight hundred thirty-six thousand, thirty-two".