4043312640 has 800 divisors, whose sum is σ = 16256173824. Its totient is φ = 955514880.

The previous prime is 4043312639. The next prime is 4043312641. The reversal of 4043312640 is 462133404.

4043312640 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 3 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4043312639) and next prime (4043312641).

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 (4043312641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109278702 + ... + 109278738.

Almost surely, 2^4043312640 is an apocalyptic number.

4043312640 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 4043312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

4043312640 is an abundant number, since it is smaller than the sum of its proper divisors (12212861184).

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

4043312640 is a wasteful number, since it uses less digits than its factorization.

4043312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4043312640 is about 63587.0477377272. The cubic root of 4043312640 is about 1593.1100395328.

The spelling of 4043312640 in words is "four billion, forty-three million, three hundred twelve thousand, six hundred forty".