395988480000 has 1040 divisors, whose sum is σ = 1556815534560. Its totient is φ = 99090432000.

The previous prime is 395988479989. The next prime is 395988480073. The reversal of 395988480000 is 84889593.

It is a happy number.

395988480000 is a `hidden beast` number, since 3 + 9 + 598 + 8 + 48 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1175039832 + ... + 1175040168.

It is an arithmetic number, because the mean of its divisors is an integer number (1496938014).

Almost surely, 2^395988480000 is an apocalyptic number.

395988480000 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 395988480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778407767280).

395988480000 is an abundant number, since it is smaller than the sum of its proper divisors (1160827054560).

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

395988480000 is an equidigital number, since it uses as much as digits as its factorization.

395988480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 395988480000 in words is "three hundred ninety-five billion, nine hundred eighty-eight million, four hundred eighty thousand".