421323545201520 has 320 divisors, whose sum is σ = 1421867194675200. Its totient is φ = 102584666419200.

The previous prime is 421323545201509. The next prime is 421323545201591. The reversal of 421323545201520 is 25102545323124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326766261 + ... + 328053099.

It is an arithmetic number, because the mean of its divisors is an integer number (4443334983360).

Almost surely, 2^{421323545201520} is an apocalyptic number.

421323545201520 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 421323545201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710933597337600).

421323545201520 is an abundant number, since it is smaller than the sum of its proper divisors (1000543649473680).

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

421323545201520 is a wasteful number, since it uses less digits than its factorization.

421323545201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288008 (or 1288002 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 421323545201520 in words is "four hundred twenty-one trillion, three hundred twenty-three billion, five hundred forty-five million, two hundred one thousand, five hundred twenty".