42938424960 has 128 divisors (see below), whose sum is σ = 137706903360. Its totient is φ = 11379916800.

The previous prime is 42938424953. The next prime is 42938424967. The reversal of 42938424960 is 6942483924.

It is an interprime number because it is at equal distance from previous prime (42938424953) and next prime (42938424967).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42938424967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 244360 + ... + 381560.

Almost surely, 2^42938424960 is an apocalyptic number.

42938424960 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 42938424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68853451680).

42938424960 is an abundant number, since it is smaller than the sum of its proper divisors (94768478400).

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

42938424960 is a wasteful number, since it uses less digits than its factorization.

42938424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137386 (or 137374 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 42938424960 in words is "forty-two billion, nine hundred thirty-eight million, four hundred twenty-four thousand, nine hundred sixty".