467120412000 has 768 divisors, whose sum is σ = 1905204188160. Its totient is φ = 110170368000.

The previous prime is 467120411983. The next prime is 467120412001. The reversal of 467120412000 is 214021764.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467120412001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43950687 + ... + 43961313.

It is an arithmetic number, because the mean of its divisors is an integer number (2480734620).

Almost surely, 2^467120412000 is an apocalyptic number.

467120412000 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 467120412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952602094080).

467120412000 is an abundant number, since it is smaller than the sum of its proper divisors (1438083776160).

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

467120412000 is a wasteful number, since it uses less digits than its factorization.

467120412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 467120412000 its reverse (214021764), we get a palindrome (467334433764).

The spelling of 467120412000 in words is "four hundred sixty-seven billion, one hundred twenty million, four hundred twelve thousand".