420255916800 has 216 divisors, whose sum is σ = 1388076115776. Its totient is φ = 111975813120.

The previous prime is 420255916781. The next prime is 420255916807. The reversal of 420255916800 is 8619552024.

It is not an unprimeable number, because it can be changed into a prime (420255916807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25086027 + ... + 25102773.

Almost surely, 2^420255916800 is an apocalyptic number.

420255916800 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 420255916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694038057888).

420255916800 is an abundant number, since it is smaller than the sum of its proper divisors (967820198976).

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

420255916800 is a wasteful number, since it uses less digits than its factorization.

420255916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 420255916800 in words is "four hundred twenty billion, two hundred fifty-five million, nine hundred sixteen thousand, eight hundred".