420441943680 has 1792 divisors, whose sum is σ = 1791624614400. Its totient is φ = 93162700800.

The previous prime is 420441943657. The next prime is 420441943729. The reversal of 420441943680 is 86349144024.

420441943680 is a `hidden beast` number, since 4 + 204 + 4 + 1 + 9 + 436 + 8 + 0 = 666.

It is a super-3 number, since 3×420441943680³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5322049881 + ... + 5322049959.

Almost surely, 2^420441943680 is an apocalyptic number.

420441943680 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 420441943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895812307200).

420441943680 is an abundant number, since it is smaller than the sum of its proper divisors (1371182670720).

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

420441943680 is a wasteful number, since it uses less digits than its factorization.

420441943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 420441943680 in words is "four hundred twenty billion, four hundred forty-one million, nine hundred forty-three thousand, six hundred eighty".