42000000414240 has 1152 divisors, whose sum is σ = 154308496269312. Its totient is φ = 9580032000000.

The previous prime is 42000000414223. The next prime is 42000000414263. The reversal of 42000000414240 is 4241400000024.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18658373115 + ... + 18658375365.

It is an arithmetic number, because the mean of its divisors is an integer number (133948347456).

Almost surely, 2^{42000000414240} is an apocalyptic number.

42000000414240 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 42000000414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77154248134656).

42000000414240 is an abundant number, since it is smaller than the sum of its proper divisors (112308495855072).

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

42000000414240 is a wasteful number, since it uses less digits than its factorization.

42000000414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42000000414240 its reverse (4241400000024), we get a palindrome (46241400414264).

The spelling of 42000000414240 in words is "forty-two trillion, four hundred fourteen thousand, two hundred forty".