420662108160 has 1120 divisors, whose sum is σ = 1758417534720. Its totient is φ = 94213767168.

The previous prime is 420662108123. The next prime is 420662108189. The reversal of 420662108160 is 61801266024.

420662108160 is a `hidden beast` number, since 4 + 20 + 6 + 621 + 0 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1370234727 + ... + 1370235033.

It is an arithmetic number, because the mean of its divisors is an integer number (1570015656).

Almost surely, 2^420662108160 is an apocalyptic number.

420662108160 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 420662108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879208767360).

420662108160 is an abundant number, since it is smaller than the sum of its proper divisors (1337755426560).

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

420662108160 is an equidigital number, since it uses as much as digits as its factorization.

420662108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 420662108160 in words is "four hundred twenty billion, six hundred sixty-two million, one hundred eight thousand, one hundred sixty".