1414291968000 has 832 divisors, whose sum is σ = 5262475046400. Its totient is φ = 374744678400.

The previous prime is 1414291967987. The next prime is 1414291968079. The reversal of 1414291968000 is 8691924141.

It is a happy number.

1414291968000 is a `hidden beast` number, since 141 + 429 + 1 + 9 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3635711806 + ... + 3635712194.

It is an arithmetic number, because the mean of its divisors is an integer number (6325090200).

Almost surely, 2^{1414291968000} is an apocalyptic number.

1414291968000 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 1414291968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631237523200).

1414291968000 is an abundant number, since it is smaller than the sum of its proper divisors (3848183078400).

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

1414291968000 is an equidigital number, since it uses as much as digits as its factorization.

1414291968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1414291968000 in words is "one trillion, four hundred fourteen billion, two hundred ninety-one million, nine hundred sixty-eight thousand".