4134012960 has 384 divisors, whose sum is σ = 16679706624. Its totient is φ = 835522560.

The previous prime is 4134012947. The next prime is 4134012973. The reversal of 4134012960 is 692104314.

It is an interprime number because it is at equal distance from previous prime (4134012947) and next prime (4134012973).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1366009 + ... + 1369031.

It is an arithmetic number, because the mean of its divisors is an integer number (43436736).

Almost surely, 2^4134012960 is an apocalyptic number.

4134012960 is a gapful number since it is divisible by the number (40) 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 4134012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339853312).

4134012960 is an abundant number, since it is smaller than the sum of its proper divisors (12545693664).

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

4134012960 is a wasteful number, since it uses less digits than its factorization.

4134012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4134012960 is about 64296.2904062124. The cubic root of 4134012960 is about 1604.9343710124.

The spelling of 4134012960 in words is "four billion, one hundred thirty-four million, twelve thousand, nine hundred sixty".