42663853440 has 1280 divisors, whose sum is σ = 177280488000. Its totient is φ = 9698476032.

The previous prime is 42663853399. The next prime is 42663853483. The reversal of 42663853440 is 4435836624.

42663853440 is a `hidden beast` number, since 4 + 2 + 6 + 638 + 5 + 3 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 723116131 + ... + 723116189.

Almost surely, 2^42663853440 is an apocalyptic number.

42663853440 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 42663853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640244000).

42663853440 is an abundant number, since it is smaller than the sum of its proper divisors (134616634560).

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

42663853440 is a wasteful number, since it uses less digits than its factorization.

42663853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 42663853440 in words is "forty-two billion, six hundred sixty-three million, eight hundred fifty-three thousand, four hundred forty".