421134032040 has 256 divisors, whose sum is σ = 1360069056000. Its totient is φ = 103938293760.

The previous prime is 421134032029. The next prime is 421134032113. The reversal of 421134032040 is 40230431124.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421134032040.

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 63 ways as a sum of consecutive naturals, for example, 59236006 + ... + 59243114.

It is an arithmetic number, because the mean of its divisors is an integer number (5312769750).

Almost surely, 2^421134032040 is an apocalyptic number.

421134032040 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 421134032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680034528000).

421134032040 is an abundant number, since it is smaller than the sum of its proper divisors (938935023960).

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

421134032040 is a wasteful number, since it uses less digits than its factorization.

421134032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 421134032040 its reverse (40230431124), we get a palindrome (461364463164).

The spelling of 421134032040 in words is "four hundred twenty-one billion, one hundred thirty-four million, thirty-two thousand, forty".