423715622400 has 1440 divisors, whose sum is σ = 1832514140160. Its totient is φ = 95606784000.

The previous prime is 423715622381. The next prime is 423715622411. The reversal of 423715622400 is 4226517324.

423715622400 is a `hidden beast` number, since 4 + 2 + 3 + 71 + 562 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 143 ways as a sum of consecutive naturals, for example, 2218406305 + ... + 2218406495.

It is an arithmetic number, because the mean of its divisors is an integer number (1272579264).

Almost surely, 2^423715622400 is an apocalyptic number.

423715622400 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 423715622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916257070080).

423715622400 is an abundant number, since it is smaller than the sum of its proper divisors (1408798517760).

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

423715622400 is a wasteful number, since it uses less digits than its factorization.

423715622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 423715622400 in words is "four hundred twenty-three billion, seven hundred fifteen million, six hundred twenty-two thousand, four hundred".