3995433953280 has 1152 divisors, whose sum is σ = 17732130474240. Its totient is φ = 807728578560.

The previous prime is 3995433953219. The next prime is 3995433953293. The reversal of 3995433953280 is 823593345993.

3995433953280 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 433 + 95 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 262556232 + ... + 262571448.

It is an arithmetic number, because the mean of its divisors is an integer number (15392474370).

Almost surely, 2^{3995433953280} is an apocalyptic number.

3995433953280 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 3995433953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866065237120).

3995433953280 is an abundant number, since it is smaller than the sum of its proper divisors (13736696520960).

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

3995433953280 is a wasteful number, since it uses less digits than its factorization.

3995433953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 3995433953280 in words is "three trillion, nine hundred ninety-five billion, four hundred thirty-three million, nine hundred fifty-three thousand, two hundred eighty".