1416096000 has 576 divisors, whose sum is σ = 5739552000. Its totient is φ = 340992000.

The previous prime is 1416095977. The next prime is 1416096037. The reversal of 1416096000 is 6906141.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 9503926 + ... + 9504074.

It is an arithmetic number, because the mean of its divisors is an integer number (9964500).

Almost surely, 2^1416096000 is an apocalyptic number.

1416096000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1416096000 is the 20115-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869776000).

1416096000 is an abundant number, since it is smaller than the sum of its proper divisors (4323456000).

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

1416096000 is a wasteful number, since it uses less digits than its factorization.

1416096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1416096000 is about 37631.0510084425. The cubic root of 1416096000 is about 1122.9598580773.

The spelling of 1416096000 in words is "one billion, four hundred sixteen million, ninety-six thousand".