420459503616000 has 2176 divisors, whose sum is σ = 1618623251481600. Its totient is φ = 107603715686400.

The previous prime is 420459503615971. The next prime is 420459503616007. The reversal of 420459503616000 is 616305954024.

420459503616000 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 5 + 9 + 5 + 0 + 36 + 1 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (420459503616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 679256063691 + ... + 679256064309.

Almost surely, 2^{420459503616000} is an apocalyptic number.

420459503616000 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 420459503616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809311625740800).

420459503616000 is an abundant number, since it is smaller than the sum of its proper divisors (1198163747865600).

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

420459503616000 is an frugal number, since it uses more digits than its factorization.

420459503616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 420459503616000 in words is "four hundred twenty trillion, four hundred fifty-nine billion, five hundred three million, six hundred sixteen thousand".