4039424640 has 320 divisors, whose sum is σ = 14653409760. Its totient is φ = 1060190208.

The previous prime is 4039424633. The next prime is 4039424647. The reversal of 4039424640 is 464249304.

4039424640 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 4 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4039424633) and next prime (4039424647).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4039424595 and 4039424604.

It is not an unprimeable number, because it can be changed into a prime (4039424647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3472699 + ... + 3473861.

Almost surely, 2^4039424640 is an apocalyptic number.

4039424640 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 4039424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326704880).

4039424640 is an abundant number, since it is smaller than the sum of its proper divisors (10613985120).

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

4039424640 is a wasteful number, since it uses less digits than its factorization.

4039424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4039424640 is about 63556.4681208766. The cubic root of 4039424640 is about 1592.5992373920.

The spelling of 4039424640 in words is "four billion, thirty-nine million, four hundred twenty-four thousand, six hundred forty".