42543961387200 has 4032 divisors, whose sum is σ = 202157514424320. Its totient is φ = 8559323136000.

The previous prime is 42543961387157. The next prime is 42543961387219. The reversal of 42543961387200 is 278316934524.

42543961387200 is a `hidden beast` number, since 4 + 2 + 5 + 439 + 6 + 138 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 575 ways as a sum of consecutive naturals, for example, 86647578955 + ... + 86647579445.

It is a 1-persistent number, because it is pandigital, but 2⋅42543961387200 = 85087922774400 is not.

Almost surely, 2^{42543961387200} is an apocalyptic number.

42543961387200 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 42543961387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101078757212160).

42543961387200 is an abundant number, since it is smaller than the sum of its proper divisors (159613553037120).

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

42543961387200 is a wasteful number, since it uses less digits than its factorization.

42543961387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42543961387200 in words is "forty-two trillion, five hundred forty-three billion, nine hundred sixty-one million, three hundred eighty-seven thousand, two hundred".