42456394591488 has 432 divisors, whose sum is σ = 129640294143360. Its totient is φ = 13853008945152.

The previous prime is 42456394591483. The next prime is 42456394591489. The reversal of 42456394591488 is 88419549365424.

42456394591488 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 6 + 3 + 94 + 59 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456394591483) 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 47 ways as a sum of consecutive naturals, for example, 1447378870 + ... + 1447408202.

It is an arithmetic number, because the mean of its divisors is an integer number (300093273480).

Almost surely, 2^{42456394591488} is an apocalyptic number.

42456394591488 is a gapful number since it is divisible by the number (48) 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 42456394591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64820147071680).

42456394591488 is an abundant number, since it is smaller than the sum of its proper divisors (87183899551872).

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

42456394591488 is an equidigital number, since it uses as much as digits as its factorization.

42456394591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29830 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 42456394591488 in words is "forty-two trillion, four hundred fifty-six billion, three hundred ninety-four million, five hundred ninety-one thousand, four hundred eighty-eight".