132214466416640 has 416 divisors, whose sum is σ = 337828817664000. Its totient is φ = 49495670784000.

The previous prime is 132214466416619. The next prime is 132214466416687. The reversal of 132214466416640 is 46614664412231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66140302361 + ... + 66140304359.

It is an arithmetic number, because the mean of its divisors is an integer number (812088504000).

Almost surely, 2^{132214466416640} is an apocalyptic number.

132214466416640 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 132214466416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168914408832000).

132214466416640 is an abundant number, since it is smaller than the sum of its proper divisors (205614351247360).

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

132214466416640 is a wasteful number, since it uses less digits than its factorization.

132214466416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 132214466416640 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, four hundred sixteen thousand, six hundred forty".