423073761546240 has 1248 divisors, whose sum is σ = 1738851293177856. Its totient is φ = 93106360811520.

The previous prime is 423073761546223. The next prime is 423073761546389. The reversal of 423073761546240 is 42645167370324.

423073761546240 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 7 + 3 + 7 + 6 + 1 + 5 + 4 + 624 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7879468834 + ... + 7879522526.

It is an arithmetic number, because the mean of its divisors is an integer number (1393310331072).

Almost surely, 2^{423073761546240} is an apocalyptic number.

423073761546240 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 423073761546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869425646588928).

423073761546240 is an abundant number, since it is smaller than the sum of its proper divisors (1315777531631616).

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

423073761546240 is a wasteful number, since it uses less digits than its factorization.

423073761546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53963 (or 53938 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 423073761546240 in words is "four hundred twenty-three trillion, seventy-three billion, seven hundred sixty-one million, five hundred forty-six thousand, two hundred forty".