421139347200 has 3240 divisors, whose sum is σ = 2020419434880. Its totient is φ = 85399142400.

The previous prime is 421139347193. The next prime is 421139347229. The reversal of 421139347200 is 2743931124.

It is a happy number.

421139347200 is a `hidden beast` number, since 4 + 21 + 1 + 393 + 47 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 18310406389 + ... + 18310406411.

Almost surely, 2^421139347200 is an apocalyptic number.

421139347200 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 421139347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010209717440).

421139347200 is an abundant number, since it is smaller than the sum of its proper divisors (1599280087680).

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

421139347200 is a wasteful number, since it uses less digits than its factorization.

421139347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 421139347200 in words is "four hundred twenty-one billion, one hundred thirty-nine million, three hundred forty-seven thousand, two hundred".