4228838499456 has 128 divisors (see below), whose sum is σ = 12487088880000. Its totient is φ = 1408919159808.

The previous prime is 4228838499299. The next prime is 4228838499463. The reversal of 4228838499456 is 6549948388224.

4228838499456 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 8 + 3 + 84 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6746730 + ... + 7346838.

It is an arithmetic number, because the mean of its divisors is an integer number (97555381875).

Almost surely, 2^{4228838499456} 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 4228838499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6243544440000).

4228838499456 is an abundant number, since it is smaller than the sum of its proper divisors (8258250380544).

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

4228838499456 is a wasteful number, since it uses less digits than its factorization.

4228838499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602171 (or 602153 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 4228838499456 in words is "four trillion, two hundred twenty-eight billion, eight hundred thirty-eight million, four hundred ninety-nine thousand, four hundred fifty-six".