4140702720 has 704 divisors, whose sum is σ = 18393523200. Its totient is φ = 858193920.

The previous prime is 4140702701. The next prime is 4140702721. The reversal of 4140702720 is 272070414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140702721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644286 + ... + 10644674.

Almost surely, 2^4140702720 is an apocalyptic number.

4140702720 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 4140702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196761600).

4140702720 is an abundant number, since it is smaller than the sum of its proper divisors (14252820480).

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

4140702720 is a wasteful number, since it uses less digits than its factorization.

4140702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4140702720 is about 64348.2922850327. The cubic root of 4140702720 is about 1605.7996190284.

The spelling of 4140702720 in words is "four billion, one hundred forty million, seven hundred two thousand, seven hundred twenty".