42102525421200 has 240 divisors, whose sum is σ = 135524668276800. Its totient is φ = 11172758784000.

The previous prime is 42102525421193. The next prime is 42102525421211. The reversal of 42102525421200 is 212452520124.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 568524175 + ... + 568598225.

It is an arithmetic number, because the mean of its divisors is an integer number (564686117820).

Almost surely, 2^{42102525421200} is an apocalyptic number.

42102525421200 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 42102525421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67762334138400).

42102525421200 is an abundant number, since it is smaller than the sum of its proper divisors (93422142855600).

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

42102525421200 is a wasteful number, since it uses less digits than its factorization.

42102525421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76370 (or 76359 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 42102525421200 its reverse (212452520124), we get a palindrome (42314977941324).

The spelling of 42102525421200 in words is "forty-two trillion, one hundred two billion, five hundred twenty-five million, four hundred twenty-one thousand, two hundred".