420746988211200 has 1584 divisors, whose sum is σ = 1799198300858400. Its totient is φ = 96072509030400.

The previous prime is 420746988211189. The next prime is 420746988211217. The reversal of 420746988211200 is 2112889647024.

420746988211200 is a `hidden beast` number, since 4 + 20 + 74 + 69 + 88 + 211 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36205741390 + ... + 36205753010.

Almost surely, 2^{420746988211200} is an apocalyptic number.

420746988211200 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 420746988211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899599150429200).

420746988211200 is an abundant number, since it is smaller than the sum of its proper divisors (1378451312647200).

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

420746988211200 is a wasteful number, since it uses less digits than its factorization.

420746988211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 420746988211200 in words is "four hundred twenty trillion, seven hundred forty-six billion, nine hundred eighty-eight million, two hundred eleven thousand, two hundred".