4227858432000 has 720 divisors, whose sum is σ = 17420387336352. Its totient is φ = 966367641600.

The previous prime is 4227858431987. The next prime is 4227858432013. The reversal of 4227858432000 is 2348587224.

4227858432000 is a `hidden beast` number, since 4 + 2 + 278 + 58 + 4 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4227858431987) and next prime (4227858432013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603979775997 + ... + 603979776003.

Almost surely, 2^{4227858432000} is an apocalyptic number.

4227858432000 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 4227858432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710193668176).

4227858432000 is an abundant number, since it is smaller than the sum of its proper divisors (13192528904352).

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

4227858432000 is an frugal number, since it uses more digits than its factorization.

4227858432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4227858432000 in words is "four trillion, two hundred twenty-seven billion, eight hundred fifty-eight million, four hundred thirty-two thousand".