1000444166400 has 432 divisors, whose sum is σ = 3777946195968. Its totient is φ = 228393984000.

The previous prime is 1000444166383. The next prime is 1000444166441. The reversal of 1000444166400 is 46614440001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122434315 + ... + 122442485.

It is an arithmetic number, because the mean of its divisors is an integer number (8745245824).

Almost surely, 2^{1000444166400} is an apocalyptic number.

1000444166400 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 1000444166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888973097984).

1000444166400 is an abundant number, since it is smaller than the sum of its proper divisors (2777502029568).

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

1000444166400 is an equidigital number, since it uses as much as digits as its factorization.

1000444166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 1000444166400 in words is "one trillion, four hundred forty-four million, one hundred sixty-six thousand, four hundred".