42414404140 has 96 divisors (see below), whose sum is σ = 97343467200. Its totient is φ = 15462236160.

The previous prime is 42414404129. The next prime is 42414404143. The reversal of 42414404140 is 4140441424.

It is a super-4 number, since 4×42414404140⁴ (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42414404099 and 42414404108.

It is not an unprimeable number, because it can be changed into a prime (42414404143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089772 + ... + 3103468.

It is an arithmetic number, because the mean of its divisors is an integer number (1013994450).

Almost surely, 2^42414404140 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 42414404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48671733600).

42414404140 is an abundant number, since it is smaller than the sum of its proper divisors (54929063060).

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

42414404140 is a wasteful number, since it uses less digits than its factorization.

42414404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 42414404140 its reverse (4140441424), we get a palindrome (46554845564).

The spelling of 42414404140 in words is "forty-two billion, four hundred fourteen million, four hundred four thousand, one hundred forty".