1395449856000 has 816 divisors, whose sum is σ = 5224800436128. Its totient is φ = 371589120000.

The previous prime is 1395449855953. The next prime is 1395449856007. The reversal of 1395449856000 is 6589445931.

1395449856000 is a `hidden beast` number, since 1 + 3 + 9 + 544 + 98 + 5 + 6 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1395449856000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1395449856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990655650 + ... + 1990656350.

Almost surely, 2^{1395449856000} is an apocalyptic number.

1395449856000 is a gapful number since it is divisible by the number (10) 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 1395449856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612400218064).

1395449856000 is an abundant number, since it is smaller than the sum of its proper divisors (3829350580128).

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

1395449856000 is an frugal number, since it uses more digits than its factorization.

1395449856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1395449856000 in words is "one trillion, three hundred ninety-five billion, four hundred forty-nine million, eight hundred fifty-six thousand".