420662361600 has 2160 divisors, whose sum is σ = 1825170931584. Its totient is φ = 92012544000.

The previous prime is 420662361593. The next prime is 420662361649. The reversal of 420662361600 is 6163266024.

420662361600 is a `hidden beast` number, since 4 + 20 + 6 + 6 + 23 + 6 + 1 + 600 = 666.

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 215 ways as a sum of consecutive naturals, for example, 10260057580 + ... + 10260057620.

Almost surely, 2^420662361600 is an apocalyptic number.

420662361600 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 420662361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912585465792).

420662361600 is an abundant number, since it is smaller than the sum of its proper divisors (1404508569984).

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

420662361600 is a wasteful number, since it uses less digits than its factorization.

420662361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 420662361600 in words is "four hundred twenty billion, six hundred sixty-two million, three hundred sixty-one thousand, six hundred".