4114331014134 has 192 divisors, whose sum is σ = 9900817920000. Its totient is φ = 1134426585600.

The previous prime is 4114331014121. The next prime is 4114331014169. The reversal of 4114331014134 is 4314101334114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76378042 + ... + 76431890.

It is an arithmetic number, because the mean of its divisors is an integer number (51566760000).

Almost surely, 2^{4114331014134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114331014134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950408960000).

4114331014134 is an abundant number, since it is smaller than the sum of its proper divisors (5786486905866).

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

4114331014134 is a wasteful number, since it uses less digits than its factorization.

4114331014134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54115 (or 54104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 4114331014134 its reverse (4314101334114), we get a palindrome (8428432348248).

The spelling of 4114331014134 in words is "four trillion, one hundred fourteen billion, three hundred thirty-one million, fourteen thousand, one hundred thirty-four".