4024134000 has 160 divisors (see below), whose sum is σ = 14415535680. Its totient is φ = 1073088000.

The previous prime is 4024133987. The next prime is 4024134007. The reversal of 4024134000 is 4314204.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024134007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16740 + ... + 91260.

It is an arithmetic number, because the mean of its divisors is an integer number (90097098).

Almost surely, 2^4024134000 is an apocalyptic number.

4024134000 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 4024134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207767840).

4024134000 is an abundant number, since it is smaller than the sum of its proper divisors (10391401680).

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

4024134000 is a wasteful number, since it uses less digits than its factorization.

4024134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74553 (or 74531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4024134000 is about 63436.0622989794. The cubic root of 4024134000 is about 1590.5871807802.

Adding to 4024134000 its reverse (4314204), we get a palindrome (4028448204).

The spelling of 4024134000 in words is "four billion, twenty-four million, one hundred thirty-four thousand".