1416564996000 has 1536 divisors, whose sum is σ = 5995873787904. Its totient is φ = 283852800000.

The previous prime is 1416564995971. The next prime is 1416564996001. The reversal of 1416564996000 is 6994656141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1416564996001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4012931824 + ... + 4012932176.

It is an arithmetic number, because the mean of its divisors is an integer number (3903563664).

Almost surely, 2^{1416564996000} is an apocalyptic number.

1416564996000 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 1416564996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997936893952).

1416564996000 is an abundant number, since it is smaller than the sum of its proper divisors (4579308791904).

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

1416564996000 is a wasteful number, since it uses less digits than its factorization.

1416564996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 1416564996000 in words is "one trillion, four hundred sixteen billion, five hundred sixty-four million, nine hundred ninety-six thousand".