420049043568 has 320 divisors, whose sum is σ = 1515057315840. Its totient is φ = 108243475200.

The previous prime is 420049043527. The next prime is 420049043639. The reversal of 420049043568 is 865340940024.

420049043568 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 49 + 0 + 43 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4174813 + ... + 4274243.

It is an arithmetic number, because the mean of its divisors is an integer number (4734554112).

Almost surely, 2^420049043568 is an apocalyptic number.

420049043568 is a gapful number since it is divisible by the number (48) 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 420049043568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757528657920).

420049043568 is an abundant number, since it is smaller than the sum of its proper divisors (1095008272272).

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

420049043568 is a wasteful number, since it uses less digits than its factorization.

420049043568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99593 (or 99581 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 420049043568 in words is "four hundred twenty billion, forty-nine million, forty-three thousand, five hundred sixty-eight".