467140608000 has 920 divisors, whose sum is σ = 1900120148784. Its totient is φ = 113246208000.

The previous prime is 467140607971. The next prime is 467140608017. The reversal of 467140608000 is 806041764.

467140608000 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 40 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42467327995 + ... + 42467328005.

Almost surely, 2^467140608000 is an apocalyptic number.

467140608000 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 467140608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950060074392).

467140608000 is an abundant number, since it is smaller than the sum of its proper divisors (1432979540784).

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

467140608000 is an frugal number, since it uses more digits than its factorization.

467140608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 467140608000 its reverse (806041764), we get a palindrome (467946649764).

The spelling of 467140608000 in words is "four hundred sixty-seven billion, one hundred forty million, six hundred eight thousand".