395244748800000 has 3888 divisors, whose sum is σ = 1704033426068064. Its totient is φ = 90773913600000.

The previous prime is 395244748799993. The next prime is 395244748800007. The reversal of 395244748800000 is 8847442593.

395244748800000 is a `hidden beast` number, since 3 + 95 + 2 + 4 + 474 + 8 + 80 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395244748799993) and next prime (395244748800007).

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×395244748800000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 395244748800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395244748800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20802355199991 + ... + 20802355200009.

It is an arithmetic number, because the mean of its divisors is an integer number (438280202178).

Almost surely, 2^{395244748800000} is an apocalyptic number.

395244748800000 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 395244748800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852016713034032).

395244748800000 is an abundant number, since it is smaller than the sum of its proper divisors (1308788677268064).

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

395244748800000 is an frugal number, since it uses more digits than its factorization.

395244748800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 395244748800000 in words is "three hundred ninety-five trillion, two hundred forty-four billion, seven hundred forty-eight million, eight hundred thousand".