4040433008640 has 1632 divisors, whose sum is σ = 17577942295680. Its totient is φ = 837115969536.

The previous prime is 4040433008627. The next prime is 4040433008681. The reversal of 4040433008640 is 468003340404.

4040433008640 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 3 + 3 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

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 = 4040433008595 and 4040433008604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10177412922 + ... + 10177413318.

Almost surely, 2^{4040433008640} is an apocalyptic number.

4040433008640 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 4040433008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788971147840).

4040433008640 is an abundant number, since it is smaller than the sum of its proper divisors (13537509287040).

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

4040433008640 is a wasteful number, since it uses less digits than its factorization.

4040433008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4040433008640 in words is "four trillion, forty billion, four hundred thirty-three million, eight thousand, six hundred forty".