42425253224000 has 224 divisors, whose sum is σ = 106287772631040. Its totient is φ = 16773781248000.

The previous prime is 42425253223973. The next prime is 42425253224009. The reversal of 42425253224000 is 42235252424.

It is a super-2 number, since 2×42425253224000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42425253224009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273226385 + ... + 273381615.

It is an arithmetic number, because the mean of its divisors is an integer number (474498984960).

Almost surely, 2^{42425253224000} is an apocalyptic number.

42425253224000 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 42425253224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53143886315520).

42425253224000 is an abundant number, since it is smaller than the sum of its proper divisors (63862519407040).

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

42425253224000 is a wasteful number, since it uses less digits than its factorization.

42425253224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155654 (or 155634 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 42425253224000 its reverse (42235252424), we get a palindrome (42467488476424).

The spelling of 42425253224000 in words is "forty-two trillion, four hundred twenty-five billion, two hundred fifty-three million, two hundred twenty-four thousand".