466074130610000 has 800 divisors, whose sum is σ = 1336185618932736. Its totient is φ = 155514240000000.

The previous prime is 466074130609837. The next prime is 466074130610057. The reversal of 466074130610000 is 16031470664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45914104925 + ... + 45914115075.

Almost surely, 2^{466074130610000} is an apocalyptic number.

466074130610000 is a gapful number since it is divisible by the number (40) 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 466074130610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668092809466368).

466074130610000 is an abundant number, since it is smaller than the sum of its proper divisors (870111488322736).

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

466074130610000 is a wasteful number, since it uses less digits than its factorization.

466074130610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 466074130610000 in words is "four hundred sixty-six trillion, seventy-four billion, one hundred thirty million, six hundred ten thousand".