420268608000 has 640 divisors, whose sum is σ = 1567741443840. Its totient is φ = 110975385600.

The previous prime is 420268607977. The next prime is 420268608013. The reversal of 420268608000 is 806862024.

420268608000 is a `hidden beast` number, since 4 + 20 + 26 + 8 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184894864 + ... + 184897136.

It is an arithmetic number, because the mean of its divisors is an integer number (2449596006).

Almost surely, 2^420268608000 is an apocalyptic number.

420268608000 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 420268608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783870721920).

420268608000 is an abundant number, since it is smaller than the sum of its proper divisors (1147472835840).

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

420268608000 is a wasteful number, since it uses less digits than its factorization.

420268608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 420268608000 in words is "four hundred twenty billion, two hundred sixty-eight million, six hundred eight thousand".