42414003240 has 256 divisors, whose sum is σ = 153348249600. Its totient is φ = 9167883264.

The previous prime is 42414003199. The next prime is 42414003251. The reversal of 42414003240 is 4230041424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42414003240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10260214 + ... + 10264346.

It is an arithmetic number, because the mean of its divisors is an integer number (599016600).

Almost surely, 2^42414003240 is an apocalyptic number.

42414003240 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 42414003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76674124800).

42414003240 is an abundant number, since it is smaller than the sum of its proper divisors (110934246360).

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

42414003240 is a wasteful number, since it uses less digits than its factorization.

42414003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42414003240 its reverse (4230041424), we get a palindrome (46644044664).

The spelling of 42414003240 in words is "forty-two billion, four hundred fourteen million, three thousand, two hundred forty".