421312430246400 has 1920 divisors, whose sum is σ = 1929049932902400. Its totient is φ = 87498045849600.

The previous prime is 421312430246353. The next prime is 421312430246413. The reversal of 421312430246400 is 4642034213124.

421312430246400 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 1 + 2 + 4 + 3 + 0 + 2 + 4 + 640 + 0 = 666.

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 (36).

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, 71663958661 + ... + 71663964539.

It is an arithmetic number, because the mean of its divisors is an integer number (1004713506720).

Almost surely, 2^{421312430246400} is an apocalyptic number.

421312430246400 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 421312430246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964524966451200).

421312430246400 is an abundant number, since it is smaller than the sum of its proper divisors (1507737502656000).

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

421312430246400 is a wasteful number, since it uses less digits than its factorization.

421312430246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 421312430246400 its reverse (4642034213124), we get a palindrome (425954464459524).

The spelling of 421312430246400 in words is "four hundred twenty-one trillion, three hundred twelve billion, four hundred thirty million, two hundred forty-six thousand, four hundred".