42526736221200 has 480 divisors, whose sum is σ = 178780894909440. Its totient is φ = 8371633305600.

The previous prime is 42526736221159. The next prime is 42526736221243. The reversal of 42526736221200 is 212263762524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10356139 + ... + 13867338.

It is an arithmetic number, because the mean of its divisors is an integer number (372460197728).

Almost surely, 2^{42526736221200} is an apocalyptic number.

42526736221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42526736221200 is an abundant number, since it is smaller than the sum of its proper divisors (136254158688240).

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

42526736221200 is a wasteful number, since it uses less digits than its factorization.

42526736221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24223535 (or 24223524 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 42526736221200 its reverse (212263762524), we get a palindrome (42738999983724).

The spelling of 42526736221200 in words is "forty-two trillion, five hundred twenty-six billion, seven hundred thirty-six million, two hundred twenty-one thousand, two hundred".