42439565952 has 512 divisors, whose sum is σ = 155722176000. Its totient is φ = 11099897856.

The previous prime is 42439565939. The next prime is 42439565981. The reversal of 42439565952 is 25956593424.

42439565952 is a `hidden beast` number, since 4 + 2 + 43 + 9 + 5 + 6 + 595 + 2 = 666.

It is a super-2 number, since 2×42439565952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15215374 + ... + 15218162.

It is an arithmetic number, because the mean of its divisors is an integer number (304144875).

Almost surely, 2^42439565952 is an apocalyptic number.

42439565952 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 42439565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77861088000).

42439565952 is an abundant number, since it is smaller than the sum of its proper divisors (113282610048).

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

42439565952 is a wasteful number, since it uses less digits than its factorization.

42439565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2855 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 42439565952 in words is "forty-two billion, four hundred thirty-nine million, five hundred sixty-five thousand, nine hundred fifty-two".