3995882542080 has 1056 divisors, whose sum is σ = 17223511189248. Its totient is φ = 841560883200.

The previous prime is 3995882542049. The next prime is 3995882542237. The reversal of 3995882542080 is 802452885993.

3995882542080 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 8 + 8 + 2 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 3995882541999 and 3995882542017.

It is a congruent number.

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, 112002645 + ... + 112038315.

Almost surely, 2^{3995882542080} is an apocalyptic number.

3995882542080 is a gapful number since it is divisible by the number (30) 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 3995882542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611755594624).

3995882542080 is an abundant number, since it is smaller than the sum of its proper divisors (13227628647168).

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

3995882542080 is a wasteful number, since it uses less digits than its factorization.

3995882542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35743 (or 35722 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 3995882542080 in words is "three trillion, nine hundred ninety-five billion, eight hundred eighty-two million, five hundred forty-two thousand, eighty".