466347726122240 has 144 divisors (see below), whose sum is σ = 1133756126133120. Its totient is φ = 183749216133120.

The previous prime is 466347726122153. The next prime is 466347726122273. The reversal of 466347726122240 is 42221627743664.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3710858126 + ... + 3710983794.

It is an arithmetic number, because the mean of its divisors is an integer number (7873306431480).

Almost surely, 2^{466347726122240} is an apocalyptic number.

466347726122240 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 466347726122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566878063066560).

466347726122240 is an abundant number, since it is smaller than the sum of its proper divisors (667408400010880).

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

466347726122240 is a wasteful number, since it uses less digits than its factorization.

466347726122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169028 (or 169014 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 56.

The spelling of 466347726122240 in words is "four hundred sixty-six trillion, three hundred forty-seven billion, seven hundred twenty-six million, one hundred twenty-two thousand, two hundred forty".