467941134336 has 416 divisors, whose sum is σ = 1407903154560. Its totient is φ = 137229238272.

The previous prime is 467941134329. The next prime is 467941134373. The reversal of 467941134336 is 633431149764.

It is a tau number, because it is divible by the number of its divisors (416).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384503200 + ... + 384504416.

Almost surely, 2^467941134336 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 467941134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703951577280).

467941134336 is an abundant number, since it is smaller than the sum of its proper divisors (939962020224).

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

467941134336 is a wasteful number, since it uses less digits than its factorization.

467941134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1347 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 51.

The spelling of 467941134336 in words is "four hundred sixty-seven billion, nine hundred forty-one million, one hundred thirty-four thousand, three hundred thirty-six".