42331102124400 has 480 divisors, whose sum is σ = 155594638180800. Its totient is φ = 10922505523200.

The previous prime is 42331102124347. The next prime is 42331102124407. The reversal of 42331102124400 is 442120113324.

42331102124400 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 1 + 1 + 0 + 212 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331102124407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72034966 + ... + 72620234.

It is an arithmetic number, because the mean of its divisors is an integer number (324155496210).

Almost surely, 2^{42331102124400} is an apocalyptic number.

42331102124400 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 42331102124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77797319090400).

42331102124400 is an abundant number, since it is smaller than the sum of its proper divisors (113263536056400).

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

42331102124400 is a wasteful number, since it uses less digits than its factorization.

42331102124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585514 (or 585497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42331102124400 its reverse (442120113324), we get a palindrome (42773222237724).

The spelling of 42331102124400 in words is "forty-two trillion, three hundred thirty-one billion, one hundred two million, one hundred twenty-four thousand, four hundred".