42323328169920 has 560 divisors, whose sum is σ = 179539723427328. Its totient is φ = 9253298165760.

The previous prime is 42323328169901. The next prime is 42323328169937. The reversal of 42323328169920 is 2996182332324.

42323328169920 is a `hidden beast` number, since 4 + 23 + 233 + 281 + 6 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 897826 + ... + 9244065.

Almost surely, 2^{42323328169920} is an apocalyptic number.

42323328169920 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 42323328169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89769861713664).

42323328169920 is an abundant number, since it is smaller than the sum of its proper divisors (137216395257408).

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

42323328169920 is a wasteful number, since it uses less digits than its factorization.

42323328169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141950 (or 10141931 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 42323328169920 in words is "forty-two trillion, three hundred twenty-three billion, three hundred twenty-eight million, one hundred sixty-nine thousand, nine hundred twenty".