420421450405000 has 320 divisors, whose sum is σ = 1099355933491200. Its totient is φ = 149389203360000.

The previous prime is 420421450404997. The next prime is 420421450405003. The reversal of 420421450405000 is 504054124024.

It is an interprime number because it is at equal distance from previous prime (420421450404997) and next prime (420421450405003).

It is not an unprimeable number, because it can be changed into a prime (420421450405003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 541527097 + ... + 542302903.

It is an arithmetic number, because the mean of its divisors is an integer number (3435487292160).

Almost surely, 2^{420421450405000} is an apocalyptic number.

420421450405000 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 420421450405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549677966745600).

420421450405000 is an abundant number, since it is smaller than the sum of its proper divisors (678934483086200).

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

420421450405000 is a wasteful number, since it uses less digits than its factorization.

420421450405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776070 (or 776051 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 420421450405000 in words is "four hundred twenty trillion, four hundred twenty-one billion, four hundred fifty million, four hundred five thousand".