420911769600 has 1296 divisors, whose sum is σ = 1798942672800. Its totient is φ = 95670927360.

The previous prime is 420911769547. The next prime is 420911769617. The reversal of 420911769600 is 6967119024.

420911769600 is a `hidden beast` number, since 4 + 20 + 9 + 1 + 17 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2351462311 + ... + 2351462489.

It is an arithmetic number, because the mean of its divisors is an integer number (1388073050).

Almost surely, 2^420911769600 is an apocalyptic number.

420911769600 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 420911769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899471336400).

420911769600 is an abundant number, since it is smaller than the sum of its proper divisors (1378030903200).

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

420911769600 is an frugal number, since it uses more digits than its factorization.

420911769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 420911769600 in words is "four hundred twenty billion, nine hundred eleven million, seven hundred sixty-nine thousand, six hundred".