466222082040 has 1024 divisors, whose sum is σ = 1869412608000. Its totient is φ = 101870714880.

The previous prime is 466222081991. The next prime is 466222082041. The reversal of 466222082040 is 40280222664.

466222082040 is a `hidden beast` number, since 4 + 6 + 622 + 2 + 0 + 8 + 20 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466222081986 and 466222082004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466222082041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1470731962 + ... + 1470732278.

It is an arithmetic number, because the mean of its divisors is an integer number (1825598250).

Almost surely, 2^466222082040 is an apocalyptic number.

466222082040 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 466222082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934706304000).

466222082040 is an abundant number, since it is smaller than the sum of its proper divisors (1403190525960).

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

466222082040 is a wasteful number, since it uses less digits than its factorization.

466222082040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 466222082040 in words is "four hundred sixty-six billion, two hundred twenty-two million, eighty-two thousand, forty".