4028320224000 has 864 divisors, whose sum is σ = 14683622151744. Its totient is φ = 1060361011200.

The previous prime is 4028320223957. The next prime is 4028320224029. The reversal of 4028320224000 is 4220238204.

4028320224000 is a `hidden beast` number, since 402 + 8 + 32 + 0 + 224 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11608991827 + ... + 11608992173.

It is an arithmetic number, because the mean of its divisors is an integer number (16994933046).

Almost surely, 2^{4028320224000} is an apocalyptic number.

4028320224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028320224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341811075872).

4028320224000 is an abundant number, since it is smaller than the sum of its proper divisors (10655301927744).

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

4028320224000 is a wasteful number, since it uses less digits than its factorization.

4028320224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 4028320224000 in words is "four trillion, twenty-eight billion, three hundred twenty million, two hundred twenty-four thousand".