42125310400 has 168 divisors, whose sum is σ = 111435367680. Its totient is φ = 15623101440.

The previous prime is 42125310391. The next prime is 42125310427. The reversal of 42125310400 is 401352124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414059 + ... + 1443541.

It is an arithmetic number, because the mean of its divisors is an integer number (663305760).

Almost surely, 2^42125310400 is an apocalyptic number.

42125310400 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 42125310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55717683840).

42125310400 is an abundant number, since it is smaller than the sum of its proper divisors (69310057280).

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

42125310400 is a wasteful number, since it uses less digits than its factorization.

42125310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29571 (or 29556 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 42125310400 its reverse (401352124), we get a palindrome (42526662524).

The spelling of 42125310400 in words is "forty-two billion, one hundred twenty-five million, three hundred ten thousand, four hundred".