395781120000 has 1120 divisors, whose sum is σ = 1678720137600. Its totient is φ = 90243072000.

The previous prime is 395781119977. The next prime is 395781120013. The reversal of 395781120000 is 21187593.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 967679796 + ... + 967680204.

Almost surely, 2^395781120000 is an apocalyptic number.

395781120000 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 395781120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839360068800).

395781120000 is an abundant number, since it is smaller than the sum of its proper divisors (1282939017600).

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

395781120000 is an frugal number, since it uses more digits than its factorization.

395781120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 395781120000 in words is "three hundred ninety-five billion, seven hundred eighty-one million, one hundred twenty thousand".