421433011012200 has 384 divisors, whose sum is σ = 1427133954723840. Its totient is φ = 102027720960000.

The previous prime is 421433011012199. The next prime is 421433011012217. The reversal of 421433011012200 is 2210110334124.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22833225372 + ... + 22833243828.

It is an arithmetic number, because the mean of its divisors is an integer number (3716494673760).

Almost surely, 2^{421433011012200} is an apocalyptic number.

421433011012200 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 421433011012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713566977361920).

421433011012200 is an abundant number, since it is smaller than the sum of its proper divisors (1005700943711640).

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

421433011012200 is a wasteful number, since it uses less digits than its factorization.

421433011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22969 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 421433011012200 its reverse (2210110334124), we get a palindrome (423643121346324).

The spelling of 421433011012200 in words is "four hundred twenty-one trillion, four hundred thirty-three billion, eleven million, twelve thousand, two hundred".