423952449560640 has 7168 divisors, whose sum is σ = 2198843781120000. Its totient is φ = 75505422827520.

The previous prime is 423952449560617. The next prime is 423952449560641. The reversal of 423952449560640 is 46065944259324.

It is a happy number.

423952449560640 is a `hidden beast` number, since 4 + 2 + 3 + 9 + 5 + 2 + 4 + 4 + 9 + 560 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (423952449560641) by changing a digit.

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 1023 ways as a sum of consecutive naturals, for example, 597958320606 + ... + 597958321314.

It is an arithmetic number, because the mean of its divisors is an integer number (306758340000).

Almost surely, 2^{423952449560640} is an apocalyptic number.

423952449560640 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 423952449560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099421890560000).

423952449560640 is an abundant number, since it is smaller than the sum of its proper divisors (1774891331559360).

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

423952449560640 is a wasteful number, since it uses less digits than its factorization.

423952449560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 423952449560640 in words is "four hundred twenty-three trillion, nine hundred fifty-two billion, four hundred forty-nine million, five hundred sixty thousand, six hundred forty".