42134414004 has 48 divisors (see below), whose sum is σ = 109248733440. Its totient is φ = 14043343680.

The previous prime is 42134413961. The next prime is 42134414029. The reversal of 42134414004 is 40041443124.

42134414004 is a `hidden beast` number, since 4 + 213 + 4 + 41 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676757 + ... + 1701699.

It is an arithmetic number, because the mean of its divisors is an integer number (2276015280).

Almost surely, 2^42134414004 is an apocalyptic number.

It is an amenable number.

42134414004 is an abundant number, since it is smaller than the sum of its proper divisors (67114319436).

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

42134414004 is a wasteful number, since it uses less digits than its factorization.

42134414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40597 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42134414004 its reverse (40041443124), we get a palindrome (82175857128).

The spelling of 42134414004 in words is "forty-two billion, one hundred thirty-four million, four hundred fourteen thousand, four".