421471814400 has 1728 divisors, whose sum is σ = 1944514432000. Its totient is φ = 88763351040.

The previous prime is 421471814371. The next prime is 421471814437. The reversal of 421471814400 is 4418174124.

421471814400 is a `hidden beast` number, since 42 + 1 + 471 + 8 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770514927 + ... + 770515473.

Almost surely, 2^421471814400 is an apocalyptic number.

421471814400 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 421471814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972257216000).

421471814400 is an abundant number, since it is smaller than the sum of its proper divisors (1523042617600).

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

421471814400 is a wasteful number, since it uses less digits than its factorization.

421471814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 421471814400 its reverse (4418174124), we get a palindrome (425889988524).

The spelling of 421471814400 in words is "four hundred twenty-one billion, four hundred seventy-one million, eight hundred fourteen thousand, four hundred".