42213012403200 has 264 divisors, whose sum is σ = 139647722265408. Its totient is φ = 11246191902720.

The previous prime is 42213012403097. The next prime is 42213012403201. The reversal of 42213012403200 is 230421031224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213012403201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81379864 + ... + 81896936.

Almost surely, 2^{42213012403200} is an apocalyptic number.

42213012403200 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 42213012403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69823861132704).

42213012403200 is an abundant number, since it is smaller than the sum of its proper divisors (97434709862208).

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

42213012403200 is a wasteful number, since it uses less digits than its factorization.

42213012403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518169 (or 518146 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42213012403200 its reverse (230421031224), we get a palindrome (42443433434424).

The spelling of 42213012403200 in words is "forty-two trillion, two hundred thirteen billion, twelve million, four hundred three thousand, two hundred".