42547248691200 has 1152 divisors, whose sum is σ = 172601002828800. Its totient is φ = 10314185932800.

The previous prime is 42547248691193. The next prime is 42547248691201. The reversal of 42547248691200 is 219684274524.

42547248691200 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 72 + 486 + 91 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42547248691200² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (42547248691201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1231701129 + ... + 1231735671.

It is an arithmetic number, because the mean of its divisors is an integer number (149827259400).

Almost surely, 2^{42547248691200} is an apocalyptic number.

42547248691200 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 42547248691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86300501414400).

42547248691200 is an abundant number, since it is smaller than the sum of its proper divisors (130053754137600).

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

42547248691200 is an equidigital number, since it uses as much as digits as its factorization.

42547248691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607 (or 34564 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42547248691200 in words is "forty-two trillion, five hundred forty-seven billion, two hundred forty-eight million, six hundred ninety-one thousand, two hundred".