4229873270784 has 1280 divisors, whose sum is σ = 15848414208000. Its totient is φ = 1100753141760.

The previous prime is 4229873270771. The next prime is 4229873270789. The reversal of 4229873270784 is 4870723789224.

It is a happy number.

4229873270784 is a `hidden beast` number, since 4 + 2 + 298 + 7 + 3 + 270 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229873270789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136447524849 + ... + 136447524879.

It is an arithmetic number, because the mean of its divisors is an integer number (12381573600).

Almost surely, 2^{4229873270784} 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 4229873270784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924207104000).

4229873270784 is an abundant number, since it is smaller than the sum of its proper divisors (11618540937216).

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

4229873270784 is an frugal number, since it uses more digits than its factorization.

4229873270784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 4229873270784 in words is "four trillion, two hundred twenty-nine billion, eight hundred seventy-three million, two hundred seventy thousand, seven hundred eighty-four".