421338032640 has 960 divisors, whose sum is σ = 1797583518720. Its totient is φ = 93175971840.

The previous prime is 421338032627. The next prime is 421338032659. The reversal of 421338032640 is 46230833124.

421338032640 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 3 + 8 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 421338032595 and 421338032604.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 104991274 + ... + 104995286.

It is an arithmetic number, because the mean of its divisors is an integer number (1872482832).

Almost surely, 2^421338032640 is an apocalyptic number.

421338032640 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 421338032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898791759360).

421338032640 is an abundant number, since it is smaller than the sum of its proper divisors (1376245486080).

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

421338032640 is a wasteful number, since it uses less digits than its factorization.

421338032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 421338032640 its reverse (46230833124), we get a palindrome (467568865764).

The spelling of 421338032640 in words is "four hundred twenty-one billion, three hundred thirty-eight million, thirty-two thousand, six hundred forty".