420323904000 has 2880 divisors, whose sum is σ = 2110759402752. Its totient is φ = 80621568000.

The previous prime is 420323903999. The next prime is 420323904019. The reversal of 420323904000 is 409323024.

It is a happy number.

420323904000 is a `hidden beast` number, since 4 + 20 + 3 + 239 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32332607994 + ... + 32332608006.

Almost surely, 2^420323904000 is an apocalyptic number.

420323904000 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 420323904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055379701376).

420323904000 is an abundant number, since it is smaller than the sum of its proper divisors (1690435498752).

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

420323904000 is an frugal number, since it uses more digits than its factorization.

420323904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 420323904000 in words is "four hundred twenty billion, three hundred twenty-three million, nine hundred four thousand".