42409874340 has 288 divisors, whose sum is σ = 142633370880. Its totient is φ = 10161220608.

The previous prime is 42409874327. The next prime is 42409874341. The reversal of 42409874340 is 4347890424.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42409874341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4437447 + ... + 4446993.

It is an arithmetic number, because the mean of its divisors is an integer number (495254760).

Almost surely, 2^42409874340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42409874340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71316685440).

42409874340 is an abundant number, since it is smaller than the sum of its proper divisors (100223496540).

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

42409874340 is a wasteful number, since it uses less digits than its factorization.

42409874340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42409874340 in words is "forty-two billion, four hundred nine million, eight hundred seventy-four thousand, three hundred forty".