4124114111304 has 192 divisors, whose sum is σ = 12224739384000. Its totient is φ = 1245648015360.

The previous prime is 4124114111281. The next prime is 4124114111329. The reversal of 4124114111304 is 4031114114214.

4124114111304 is a `hidden beast` number, since 4 + 1 + 241 + 1 + 4 + 111 + 304 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627047664 + ... + 627054240.

It is an arithmetic number, because the mean of its divisors is an integer number (63670517625).

Almost surely, 2^{4124114111304} is an apocalyptic number.

4124114111304 is a gapful number since it is divisible by the number (44) 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 4124114111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112369692000).

4124114111304 is an abundant number, since it is smaller than the sum of its proper divisors (8100625272696).

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

4124114111304 is a wasteful number, since it uses less digits than its factorization.

4124114111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 4124114111304 its reverse (4031114114214), we get a palindrome (8155228225518).

The spelling of 4124114111304 in words is "four trillion, one hundred twenty-four billion, one hundred fourteen million, one hundred eleven thousand, three hundred four".