42663939840 has 288 divisors, whose sum is σ = 160305687360. Its totient is φ = 10707664896.

The previous prime is 42663939839. The next prime is 42663939869. The reversal of 42663939840 is 4893936624.

42663939840 is a `hidden beast` number, since 426 + 6 + 3 + 93 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42663939840² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 551212 + ... + 623828.

It is an arithmetic number, because the mean of its divisors is an integer number (556616970).

Almost surely, 2^42663939840 is an apocalyptic number.

42663939840 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 42663939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80152843680).

42663939840 is an abundant number, since it is smaller than the sum of its proper divisors (117641747520).

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

42663939840 is a wasteful number, since it uses less digits than its factorization.

42663939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72664 (or 72644 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42663939840 in words is "forty-two billion, six hundred sixty-three million, nine hundred thirty-nine thousand, eight hundred forty".