4219046810272 has 144 divisors (see below), whose sum is σ = 10007998497000. Its totient is φ = 1743639281664.

The previous prime is 4219046810269. The next prime is 4219046810287. The reversal of 4219046810272 is 2720186409124.

It can be written as a sum of positive squares in 4 ways, for example, as 3362837110416 + 856209699856 = 1833804^2 + 925316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36729504 + ... + 36844192.

Almost surely, 2^{4219046810272} 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 4219046810272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003999248500).

4219046810272 is an abundant number, since it is smaller than the sum of its proper divisors (5788951686728).

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

4219046810272 is a wasteful number, since it uses less digits than its factorization.

4219046810272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115551 (or 115536 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 4219046810272 in words is "four trillion, two hundred nineteen billion, forty-six million, eight hundred ten thousand, two hundred seventy-two".