42512350353200 has 480 divisors, whose sum is σ = 128408506329600. Its totient is φ = 13440054297600.

The previous prime is 42512350353089. The next prime is 42512350353217. The reversal of 42512350353200 is 235305321524.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1731863327 + ... + 1731887873.

It is an arithmetic number, because the mean of its divisors is an integer number (267517721520).

Almost surely, 2^{42512350353200} is an apocalyptic number.

42512350353200 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 42512350353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64204253164800).

42512350353200 is an abundant number, since it is smaller than the sum of its proper divisors (85896155976400).

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

42512350353200 is a wasteful number, since it uses less digits than its factorization.

42512350353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25570 (or 25545 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 42512350353200 its reverse (235305321524), we get a palindrome (42747655674724).

The spelling of 42512350353200 in words is "forty-two trillion, five hundred twelve billion, three hundred fifty million, three hundred fifty-three thousand, two hundred".