4001840640 has 480 divisors, whose sum is σ = 16443947520. Its totient is φ = 913711104.

The previous prime is 4001840597. The next prime is 4001840653. The reversal of 4001840640 is 460481004.

4001840640 is a `hidden beast` number, since 4 + 0 + 0 + 18 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354101 + ... + 4355019.

It is an arithmetic number, because the mean of its divisors is an integer number (34258224).

Almost surely, 2^4001840640 is an apocalyptic number.

4001840640 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 4001840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221973760).

4001840640 is an abundant number, since it is smaller than the sum of its proper divisors (12442106880).

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

4001840640 is an frugal number, since it uses more digits than its factorization.

4001840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4001840640 is about 63260.1030666249. The cubic root of 4001840640 is about 1587.6445007862.

The spelling of 4001840640 in words is "four billion, one million, eight hundred forty thousand, six hundred forty".