420160608000 has 2016 divisors, whose sum is σ = 1873634660352. Its totient is φ = 91819008000.

The previous prime is 420160607953. The next prime is 420160608061. The reversal of 420160608000 is 806061024.

420160608000 is a `hidden beast` number, since 42 + 0 + 16 + 0 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5062175959 + ... + 5062176041.

It is an arithmetic number, because the mean of its divisors is an integer number (929382272).

Almost surely, 2^420160608000 is an apocalyptic number.

420160608000 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 420160608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936817330176).

420160608000 is an abundant number, since it is smaller than the sum of its proper divisors (1453474052352).

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

420160608000 is an frugal number, since it uses more digits than its factorization.

420160608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 420160608000 its reverse (806061024), we get a palindrome (420966669024).

The spelling of 420160608000 in words is "four hundred twenty billion, one hundred sixty million, six hundred eight thousand".