1000168514400 has 576 divisors, whose sum is σ = 3604876773120. Its totient is φ = 238849228800.

The previous prime is 1000168514393. The next prime is 1000168514417. The reversal of 1000168514400 is 44158610001.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 533991864 + ... + 533993736.

It is an arithmetic number, because the mean of its divisors is an integer number (6258466620).

Almost surely, 2^{1000168514400} is an apocalyptic number.

1000168514400 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 1000168514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802438386560).

1000168514400 is an abundant number, since it is smaller than the sum of its proper divisors (2604708258720).

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

1000168514400 is a wasteful number, since it uses less digits than its factorization.

1000168514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 1000168514400 in words is "one trillion, one hundred sixty-eight million, five hundred fourteen thousand, four hundred".