4101134004 has 120 divisors (see below), whose sum is σ = 11817398208. Its totient is φ = 1229852160.

The previous prime is 4101133991. The next prime is 4101134017. The reversal of 4101134004 is 4004311014.

It is an interprime number because it is at equal distance from previous prime (4101133991) and next prime (4101134017).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 339777 + ... + 351639.

Almost surely, 2^4101134004 is an apocalyptic number.

4101134004 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 4101134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908699104).

4101134004 is an abundant number, since it is smaller than the sum of its proper divisors (7716264204).

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

4101134004 is a wasteful number, since it uses less digits than its factorization.

4101134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101134004 is about 64040.0968456482. The cubic root of 4101134004 is about 1600.6682109991.

Adding to 4101134004 its reverse (4004311014), we get a palindrome (8105445018).

The spelling of 4101134004 in words is "four billion, one hundred one million, one hundred thirty-four thousand, four".