4201445376 has 480 divisors, whose sum is σ = 13953139200. Its totient is φ = 1254113280.

The previous prime is 4201445327. The next prime is 4201445461. The reversal of 4201445376 is 6735441024.

4201445376 is a `hidden beast` number, since 4 + 201 + 445 + 3 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4201445376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97708011 + ... + 97708053.

It is an arithmetic number, because the mean of its divisors is an integer number (29069040).

Almost surely, 2^4201445376 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 4201445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976569600).

4201445376 is an abundant number, since it is smaller than the sum of its proper divisors (9751693824).

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

4201445376 is a wasteful number, since it uses less digits than its factorization.

4201445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4201445376 is about 64818.5573427857. The cubic root of 4201445376 is about 1613.6137050391.

The spelling of 4201445376 in words is "four billion, two hundred one million, four hundred forty-five thousand, three hundred seventy-six".