1414468954800 has 1440 divisors, whose sum is σ = 5730293237760. Its totient is φ = 319887360000.

The previous prime is 1414468954757. The next prime is 1414468954819. The reversal of 1414468954800 is 84598644141.

1414468954800 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 6 + 89 + 548 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7902061111 + ... + 7902061289.

It is an arithmetic number, because the mean of its divisors is an integer number (3979370304).

Almost surely, 2^{1414468954800} is an apocalyptic number.

1414468954800 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 1414468954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865146618880).

1414468954800 is an abundant number, since it is smaller than the sum of its proper divisors (4315824282960).

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

1414468954800 is a wasteful number, since it uses less digits than its factorization.

1414468954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1414468954800 in words is "one trillion, four hundred fourteen billion, four hundred sixty-eight million, nine hundred fifty-four thousand, eight hundred".