42958913088 has 504 divisors, whose sum is σ = 146886838560. Its totient is φ = 11036712960.

The previous prime is 42958913057. The next prime is 42958913171. The reversal of 42958913088 is 88031985924.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 65187703 + ... + 65188361.

It is an arithmetic number, because the mean of its divisors is an integer number (291442140).

Almost surely, 2^42958913088 is an apocalyptic number.

42958913088 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 42958913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73443419280).

42958913088 is an abundant number, since it is smaller than the sum of its proper divisors (103927925472).

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

42958913088 is a wasteful number, since it uses less digits than its factorization.

42958913088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 42958913088 in words is "forty-two billion, nine hundred fifty-eight million, nine hundred thirteen thousand, eighty-eight".