42409003840 has 112 divisors (see below), whose sum is σ = 115469407872. Its totient is φ = 14533134336.

The previous prime is 42409003817. The next prime is 42409003891. The reversal of 42409003840 is 4830090424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×42409003840² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42409003796 and 42409003805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6866994 + ... + 6873166.

It is an arithmetic number, because the mean of its divisors is an integer number (1030976856).

Almost surely, 2^42409003840 is an apocalyptic number.

42409003840 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 42409003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57734703936).

42409003840 is an abundant number, since it is smaller than the sum of its proper divisors (73060404032).

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

42409003840 is a wasteful number, since it uses less digits than its factorization.

42409003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 42409003840 in words is "forty-two billion, four hundred nine million, three thousand, eight hundred forty".