42239427552 has 288 divisors, whose sum is σ = 141006849984. Its totient is φ = 11744870400.

The previous prime is 42239427547. The next prime is 42239427557. The reversal of 42239427552 is 25572493224.

42239427552 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 94 + 2 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (42239427547) and next prime (42239427557).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×42239427552³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42239427498 and 42239427507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42239427557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11926902 + ... + 11930442.

It is an arithmetic number, because the mean of its divisors is an integer number (489607118).

Almost surely, 2^42239427552 is an apocalyptic number.

42239427552 is a gapful number since it is divisible by the number (42) 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 42239427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70503424992).

42239427552 is an abundant number, since it is smaller than the sum of its proper divisors (98767422432).

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

42239427552 is a wasteful number, since it uses less digits than its factorization.

42239427552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3711 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 42239427552 in words is "forty-two billion, two hundred thirty-nine million, four hundred twenty-seven thousand, five hundred fifty-two".