4006383631760 has 80 divisors (see below), whose sum is σ = 9402877659456. Its totient is φ = 1587410655744.

The previous prime is 4006383631759. The next prime is 4006383631799. The reversal of 4006383631760 is 671363836004.

4006383631760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4006383631760² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112058207 + ... + 112093953.

Almost surely, 2^{4006383631760} is an apocalyptic number.

4006383631760 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 4006383631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701438829728).

4006383631760 is an abundant number, since it is smaller than the sum of its proper divisors (5396494027696).

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

4006383631760 is a wasteful number, since it uses less digits than its factorization.

4006383631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48960 (or 48954 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 47.

The spelling of 4006383631760 in words is "four trillion, six billion, three hundred eighty-three million, six hundred thirty-one thousand, seven hundred sixty".