42424952169600 has 7680 divisors, whose sum is σ = 222141782016000. Its totient is φ = 7852142592000.

The previous prime is 42424952169599. The next prime is 42424952169601. The reversal of 42424952169600 is 696125942424.

It is a happy number.

42424952169600 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 9 + 5 + 21 + 6 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42424952169599) and next prime (42424952169601).

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

It is not an unprimeable number, because it can be changed into a prime (42424952169601) 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 959 ways as a sum of consecutive naturals, for example, 597534537565 + ... + 597534537635.

It is an arithmetic number, because the mean of its divisors is an integer number (28924711200).

Almost surely, 2^{42424952169600} is an apocalyptic number.

42424952169600 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 42424952169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111070891008000).

42424952169600 is an abundant number, since it is smaller than the sum of its proper divisors (179716829846400).

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

42424952169600 is a wasteful number, since it uses less digits than its factorization.

42424952169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 42424952169600 in words is "forty-two trillion, four hundred twenty-four billion, nine hundred fifty-two million, one hundred sixty-nine thousand, six hundred".