1418638966272 has 400 divisors, whose sum is σ = 4662527329152. Its totient is φ = 425858273280.

The previous prime is 1418638966267. The next prime is 1418638966273. The reversal of 1418638966272 is 2726698368141.

1418638966272 is a `hidden beast` number, since 1 + 4 + 186 + 389 + 6 + 6 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418638966273) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48798013 + ... + 48827075.

Almost surely, 2^{1418638966272} is an apocalyptic number.

1418638966272 is a gapful number since it is divisible by the number (12) 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 1418638966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331263664576).

1418638966272 is an abundant number, since it is smaller than the sum of its proper divisors (3243888362880).

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

1418638966272 is a wasteful number, since it uses less digits than its factorization.

1418638966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29211 (or 29186 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 1418638966272 in words is "one trillion, four hundred eighteen billion, six hundred thirty-eight million, nine hundred sixty-six thousand, two hundred seventy-two".