3995659261440 has 2880 divisors, whose sum is σ = 18485284866048. Its totient is φ = 787768934400.

The previous prime is 3995659261439. The next prime is 3995659261459. The reversal of 3995659261440 is 441629565993.

3995659261440 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 6 + 5 + 9 + 2 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37342609867 + ... + 37342609973.

Almost surely, 2^{3995659261440} is an apocalyptic number.

3995659261440 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 3995659261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242642433024).

3995659261440 is an abundant number, since it is smaller than the sum of its proper divisors (14489625604608).

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

3995659261440 is a wasteful number, since it uses less digits than its factorization.

3995659261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 3995659261440 in words is "three trillion, nine hundred ninety-five billion, six hundred fifty-nine million, two hundred sixty-one thousand, four hundred forty".