4140034000 has 80 divisors (see below), whose sum is σ = 10024621776. Its totient is φ = 1653696000.

The previous prime is 4140033991. The next prime is 4140034001. The reversal of 4140034000 is 4300414.

It can be written as a sum of positive squares in 8 ways, for example, as 581195664 + 3558838336 = 24108^2 + 59656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140034001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553190 + ... + 2554810.

Almost surely, 2^4140034000 is an apocalyptic number.

4140034000 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 4140034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012310888).

4140034000 is an abundant number, since it is smaller than the sum of its proper divisors (5884587776).

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

4140034000 is a wasteful number, since it uses less digits than its factorization.

4140034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4140034000 is about 64343.0959777349. The cubic root of 4140034000 is about 1605.7131692793.

Adding to 4140034000 its reverse (4300414), we get a palindrome (4144334414).

The spelling of 4140034000 in words is "four billion, one hundred forty million, thirty-four thousand".