4134012000 has 192 divisors, whose sum is σ = 13774924800. Its totient is φ = 1083532800.

The previous prime is 4134011989. The next prime is 4134012023. The reversal of 4134012000 is 2104314.

It is a super-2 number, since 2×4134012000² = 34180110432288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705081 + ... + 710919.

It is an arithmetic number, because the mean of its divisors is an integer number (71744400).

Almost surely, 2^4134012000 is an apocalyptic number.

4134012000 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 4134012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887462400).

4134012000 is an abundant number, since it is smaller than the sum of its proper divisors (9640912800).

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

4134012000 is a wasteful number, since it uses less digits than its factorization.

4134012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4134012000 is about 64296.2829407735. The cubic root of 4134012000 is about 1604.9342467798.

Adding to 4134012000 its reverse (2104314), we get a palindrome (4136116314).

The spelling of 4134012000 in words is "four billion, one hundred thirty-four million, twelve thousand".