1441398067200 has 2496 divisors, whose sum is σ = 6920952030720. Its totient is φ = 285380444160.

The previous prime is 1441398067177. The next prime is 1441398067223. The reversal of 1441398067200 is 27608931441.

1441398067200 is a `hidden beast` number, since 14 + 41 + 398 + 0 + 6 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1441398067177) and next prime (1441398067223).

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4277145432 + ... + 4277145768.

It is an arithmetic number, because the mean of its divisors is an integer number (2772817320).

Almost surely, 2^{1441398067200} is an apocalyptic number.

1441398067200 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 1441398067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460476015360).

1441398067200 is an abundant number, since it is smaller than the sum of its proper divisors (5479553963520).

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

1441398067200 is a wasteful number, since it uses less digits than its factorization.

1441398067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1441398067200 in words is "one trillion, four hundred forty-one billion, three hundred ninety-eight million, sixty-seven thousand, two hundred".