42123213334400 has 192 divisors, whose sum is σ = 113918421254400. Its totient is φ = 15263402956800.

The previous prime is 42123213334357. The next prime is 42123213334417. The reversal of 42123213334400 is 443331232124.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7847321 + ... + 12075879.

It is an arithmetic number, because the mean of its divisors is an integer number (593325110700).

Almost surely, 2^{42123213334400} is an apocalyptic number.

42123213334400 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 42123213334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56959210627200).

42123213334400 is an abundant number, since it is smaller than the sum of its proper divisors (71795207920000).

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

42123213334400 is a wasteful number, since it uses less digits than its factorization.

42123213334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228877 (or 4228860 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 42123213334400 its reverse (443331232124), we get a palindrome (42566544566524).

The spelling of 42123213334400 in words is "forty-two trillion, one hundred twenty-three billion, two hundred thirteen million, three hundred thirty-four thousand, four hundred".