42463271551680 has 1344 divisors, whose sum is σ = 182675033948160. Its totient is φ = 8838154321920.

The previous prime is 42463271551661. The next prime is 42463271551733. The reversal of 42463271551680 is 8615517236424.

42463271551680 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 3 + 2 + 7 + 1 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 10209969441 + ... + 10209973599.

Almost surely, 2^{42463271551680} is an apocalyptic number.

42463271551680 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 42463271551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91337516974080).

42463271551680 is an abundant number, since it is smaller than the sum of its proper divisors (140211762396480).

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

42463271551680 is a wasteful number, since it uses less digits than its factorization.

42463271551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42463271551680 in words is "forty-two trillion, four hundred sixty-three billion, two hundred seventy-one million, five hundred fifty-one thousand, six hundred eighty".