42601748152320 has 720 divisors, whose sum is σ = 176198219779680. Its totient is φ = 9737517662208.

The previous prime is 42601748152309. The next prime is 42601748152351. The reversal of 42601748152320 is 2325184710624.

42601748152320 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 174 + 8 + 152 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 108183622 + ... + 108576698.

It is an arithmetic number, because the mean of its divisors is an integer number (244719749694).

Almost surely, 2^{42601748152320} is an apocalyptic number.

42601748152320 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 42601748152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88099109889840).

42601748152320 is an abundant number, since it is smaller than the sum of its proper divisors (133596471627360).

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

42601748152320 is an equidigital number, since it uses as much as digits as its factorization.

42601748152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393133 (or 393094 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42601748152320 in words is "forty-two trillion, six hundred one billion, seven hundred forty-eight million, one hundred fifty-two thousand, three hundred twenty".