42886617883200 has 1008 divisors, whose sum is σ = 189980334369280. Its totient is φ = 8934044221440.

The previous prime is 42886617883181. The next prime is 42886617883217. The reversal of 42886617883200 is 238871668824.

42886617883200 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 6 + 617 + 8 + 8 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×42886617883200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 103314462 + ... + 103728738.

Almost surely, 2^{42886617883200} is an apocalyptic number.

42886617883200 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 42886617883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94990167184640).

42886617883200 is an abundant number, since it is smaller than the sum of its proper divisors (147093716486080).

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

42886617883200 is a wasteful number, since it uses less digits than its factorization.

42886617883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414404 (or 414386 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 42886617883200 in words is "forty-two trillion, eight hundred eighty-six billion, six hundred seventeen million, eight hundred eighty-three thousand, two hundred".