42213231541200 has 480 divisors, whose sum is σ = 141738428160000. Its totient is φ = 10729654272000.

The previous prime is 42213231541189. The next prime is 42213231541259. The reversal of 42213231541200 is 214513231224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447131601 + ... + 447225999.

It is an arithmetic number, because the mean of its divisors is an integer number (295288392000).

Almost surely, 2^{42213231541200} is an apocalyptic number.

42213231541200 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 42213231541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70869214080000).

42213231541200 is an abundant number, since it is smaller than the sum of its proper divisors (99525196618800).

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

42213231541200 is a wasteful number, since it uses less digits than its factorization.

42213231541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94671 (or 94660 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42213231541200 its reverse (214513231224), we get a palindrome (42427744772424).

The spelling of 42213231541200 in words is "forty-two trillion, two hundred thirteen billion, two hundred thirty-one million, five hundred forty-one thousand, two hundred".