4140694000 has 80 divisors (see below), whose sum is σ = 10027233216. Its totient is φ = 1653792000.

The previous prime is 4140693971. The next prime is 4140694009. The reversal of 4140694000 is 4960414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4140694000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140694009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932930 + ... + 1935070.

Almost surely, 2^4140694000 is an apocalyptic number.

4140694000 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 4140694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013616608).

4140694000 is an abundant number, since it is smaller than the sum of its proper divisors (5886539216).

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

4140694000 is a wasteful number, since it uses less digits than its factorization.

4140694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4140694000 is about 64348.2245287312. The cubic root of 4140694000 is about 1605.7984917977.

The spelling of 4140694000 in words is "four billion, one hundred forty million, six hundred ninety-four thousand".