4009143840 has 192 divisors, whose sum is σ = 13754966400. Its totient is φ = 975642624.

The previous prime is 4009143839. The next prime is 4009143893. The reversal of 4009143840 is 483419004.

It is a happy 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, 551751 + ... + 558969.

It is an arithmetic number, because the mean of its divisors is an integer number (71640450).

Almost surely, 2^4009143840 is an apocalyptic number.

4009143840 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 4009143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877483200).

4009143840 is an abundant number, since it is smaller than the sum of its proper divisors (9745822560).

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

4009143840 is a wasteful number, since it uses less digits than its factorization.

4009143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4009143840 is about 63317.8003408204. The cubic root of 4009143840 is about 1588.6097098905.

The spelling of 4009143840 in words is "four billion, nine million, one hundred forty-three thousand, eight hundred forty".