42107473920 has 416 divisors, whose sum is σ = 140040150912. Its totient is φ = 10796138496.

The previous prime is 42107473909. The next prime is 42107473963. The reversal of 42107473920 is 2937470124.

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 31 ways as a sum of consecutive naturals, for example, 218173344 + ... + 218173536.

Almost surely, 2^42107473920 is an apocalyptic number.

42107473920 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 42107473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70020075456).

42107473920 is an abundant number, since it is smaller than the sum of its proper divisors (97932676992).

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

42107473920 is a wasteful number, since it uses less digits than its factorization.

42107473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 42107473920 in words is "forty-two billion, one hundred seven million, four hundred seventy-three thousand, nine hundred twenty".