40421203200 has 1296 divisors, whose sum is σ = 177135329280. Its totient is φ = 8928092160.

The previous prime is 40421203189. The next prime is 40421203217. The reversal of 40421203200 is 230212404.

40421203200 is a `hidden beast` number, since 40 + 421 + 2 + 0 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 511660761 + ... + 511660839.

Almost surely, 2^40421203200 is an apocalyptic number.

40421203200 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 40421203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88567664640).

40421203200 is an abundant number, since it is smaller than the sum of its proper divisors (136714126080).

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

40421203200 is an equidigital number, since it uses as much as digits as its factorization.

40421203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40421203200 its reverse (230212404), we get a palindrome (40651415604).

The spelling of 40421203200 in words is "forty billion, four hundred twenty-one million, two hundred three thousand, two hundred".