42005203240 has 384 divisors, whose sum is σ = 128690714880. Its totient is φ = 12006973440.

The previous prime is 42005203237. The next prime is 42005203243. The reversal of 42005203240 is 4230250024.

It is an interprime number because it is at equal distance from previous prime (42005203237) and next prime (42005203243).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42005203243) 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, 124644352 + ... + 124644688.

It is an arithmetic number, because the mean of its divisors is an integer number (335132070).

Almost surely, 2^42005203240 is an apocalyptic number.

42005203240 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 42005203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64345357440).

42005203240 is an abundant number, since it is smaller than the sum of its proper divisors (86685511640).

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

42005203240 is a wasteful number, since it uses less digits than its factorization.

42005203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 42005203240 its reverse (4230250024), we get a palindrome (46235453264).

The spelling of 42005203240 in words is "forty-two billion, five million, two hundred three thousand, two hundred forty".