423814464000 has 640 divisors, whose sum is σ = 1592560569600. Its totient is φ = 111074918400.

The previous prime is 423814463983. The next prime is 423814464041. The reversal of 423814464000 is 464418324.

423814464000 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 1 + 4 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101949922 + ... + 101954078.

It is an arithmetic number, because the mean of its divisors is an integer number (2488375890).

Almost surely, 2^423814464000 is an apocalyptic number.

423814464000 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 423814464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796280284800).

423814464000 is an abundant number, since it is smaller than the sum of its proper divisors (1168746105600).

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

423814464000 is an equidigital number, since it uses as much as digits as its factorization.

423814464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 423814464000 in words is "four hundred twenty-three billion, eight hundred fourteen million, four hundred sixty-four thousand".