42442798428576 has 432 divisors, whose sum is σ = 155860204945536. Its totient is φ = 10707020273664.

The previous prime is 42442798428529. The next prime is 42442798428607. The reversal of 42442798428576 is 67582489724424.

42442798428576 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 2 + 7 + 9 + 8 + 42 + 8 + 576 = 666.

It is a super-2 number, since 2×42442798428576² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5128066 + ... + 10544318.

It is an arithmetic number, because the mean of its divisors is an integer number (360787511448).

Almost surely, 2^{42442798428576} is an apocalyptic number.

42442798428576 is a gapful number since it is divisible by the number (46) 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 42442798428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77930102472768).

42442798428576 is an abundant number, since it is smaller than the sum of its proper divisors (113417406516960).

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

42442798428576 is a wasteful number, since it uses less digits than its factorization.

42442798428576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416325 (or 5416301 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 42442798428576 in words is "forty-two trillion, four hundred forty-two billion, seven hundred ninety-eight million, four hundred twenty-eight thousand, five hundred seventy-six".