42621836083200 has 1620 divisors, whose sum is σ = 174082318278960. Its totient is φ = 10329646694400.

The previous prime is 42621836083187. The next prime is 42621836083207. The reversal of 42621836083200 is 238063812624.

42621836083200 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 1 + 8 + 3 + 608 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×42621836083200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42621836083207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12043467031 + ... + 12043470569.

Almost surely, 2^{42621836083200} is an apocalyptic number.

42621836083200 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 42621836083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87041159139480).

42621836083200 is an abundant number, since it is smaller than the sum of its proper divisors (131460482195760).

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

42621836083200 is an equidigital number, since it uses as much as digits as its factorization.

42621836083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 42621836083200 its reverse (238063812624), we get a palindrome (42859899895824).

The spelling of 42621836083200 in words is "forty-two trillion, six hundred twenty-one billion, eight hundred thirty-six million, eighty-three thousand, two hundred".