1414066006464 has 224 divisors, whose sum is σ = 4030722017280. Its totient is φ = 436143771648.

The previous prime is 1414066006453. The next prime is 1414066006469. The reversal of 1414066006464 is 4646006604141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414066006469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43099314 + ... + 43132110.

It is an arithmetic number, because the mean of its divisors is an integer number (17994294720).

Almost surely, 2^{1414066006464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414066006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015361008640).

1414066006464 is an abundant number, since it is smaller than the sum of its proper divisors (2616656010816).

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

1414066006464 is a wasteful number, since it uses less digits than its factorization.

1414066006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33107 (or 33097 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 1414066006464 in words is "one trillion, four hundred fourteen billion, sixty-six million, six thousand, four hundred sixty-four".