42013829040 has 80 divisors (see below), whose sum is σ = 137097772800. Its totient is φ = 10614018816.

The previous prime is 42013829029. The next prime is 42013829047. The reversal of 42013829040 is 4092831024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42013828992 and 42013829010.

It is not an unprimeable number, because it can be changed into a prime (42013829047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4602220 + ... + 4611339.

It is an arithmetic number, because the mean of its divisors is an integer number (1713722160).

Almost surely, 2^42013829040 is an apocalyptic number.

42013829040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013829040 is an abundant number, since it is smaller than the sum of its proper divisors (95083943760).

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

42013829040 is a wasteful number, since it uses less digits than its factorization.

42013829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213594 (or 9213588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 42013829040 in words is "forty-two billion, thirteen million, eight hundred twenty-nine thousand, forty".