423874868272128 has 3696 divisors, whose sum is σ = 1664184758573568. Its totient is φ = 104969281536000.

The previous prime is 423874868272127. The next prime is 423874868272183. The reversal of 423874868272128 is 821272868478324.

423874868272128 is a `hidden beast` number, since 4 + 2 + 3 + 87 + 486 + 8 + 27 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423874868272127) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2807118332853 + ... + 2807118333003.

It is an arithmetic number, because the mean of its divisors is an integer number (450266439008).

Almost surely, 2^{423874868272128} is an apocalyptic number.

423874868272128 is a gapful number since it is divisible by the number (48) 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 423874868272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832092379286784).

423874868272128 is an abundant number, since it is smaller than the sum of its proper divisors (1240309890301440).

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

423874868272128 is a wasteful number, since it uses less digits than its factorization.

423874868272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 250 counting only the distinct ones).

The product of its digits is 924844032, while the sum is 72.

The spelling of 423874868272128 in words is "four hundred twenty-three trillion, eight hundred seventy-four billion, eight hundred sixty-eight million, two hundred seventy-two thousand, one hundred twenty-eight".