421323302400 has 1920 divisors, whose sum is σ = 1904704091136. Its totient is φ = 79272345600.

The previous prime is 421323302383. The next prime is 421323302417. The reversal of 421323302400 is 4203323124.

It is an interprime number because it is at equal distance from previous prime (421323302383) and next prime (421323302417).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3728524744 + ... + 3728524856.

Almost surely, 2^421323302400 is an apocalyptic number.

421323302400 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 421323302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952352045568).

421323302400 is an abundant number, since it is smaller than the sum of its proper divisors (1483380788736).

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

421323302400 is a wasteful number, since it uses less digits than its factorization.

421323302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 421323302400 its reverse (4203323124), we get a palindrome (425526625524).

The spelling of 421323302400 in words is "four hundred twenty-one billion, three hundred twenty-three million, three hundred two thousand, four hundred".