42406414123014 has 128 divisors (see below), whose sum is σ = 98434680768000. Its totient is φ = 13518828595584.

The previous prime is 42406414122979. The next prime is 42406414123037. The reversal of 42406414123014 is 41032141460424.

42406414123014 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 6 + 414 + 1 + 230 + 1 + 4 = 666.

It is a super-2 number, since 2×42406414123014² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42406414123014.

It is a congruent number.

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, 1642436997 + ... + 1642462815.

It is an arithmetic number, because the mean of its divisors is an integer number (769020943500).

Almost surely, 2^{42406414123014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406414123014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49217340384000).

42406414123014 is an abundant number, since it is smaller than the sum of its proper divisors (56028266644986).

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

42406414123014 is a wasteful number, since it uses less digits than its factorization.

42406414123014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39859 (or 39853 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 42406414123014 its reverse (41032141460424), we get a palindrome (83438555583438).

The spelling of 42406414123014 in words is "forty-two trillion, four hundred six billion, four hundred fourteen million, one hundred twenty-three thousand, fourteen".