423631342664000 has 336 divisors, whose sum is σ = 1107453812184720. Its totient is φ = 160503881011200.

The previous prime is 423631342663973. The next prime is 423631342664017. The reversal of 423631342664000 is 466243136324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58030633070656 + 365600709593344 = 7617784^2 + 19120688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20900445866 + ... + 20900466134.

It is an arithmetic number, because the mean of its divisors is an integer number (3295993488645).

Almost surely, 2^{423631342664000} is an apocalyptic number.

423631342664000 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 423631342664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553726906092360).

423631342664000 is an abundant number, since it is smaller than the sum of its proper divisors (683822469520720).

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

423631342664000 is a wasteful number, since it uses less digits than its factorization.

423631342664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27571 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 44.

The spelling of 423631342664000 in words is "four hundred twenty-three trillion, six hundred thirty-one billion, three hundred forty-two million, six hundred sixty-four thousand".