421580715798528 has 1872 divisors, whose sum is σ = 1476201531617280. Its totient is φ = 114873060556800.

The previous prime is 421580715798433. The next prime is 421580715798559. The reversal of 421580715798528 is 825897517085124.

421580715798528 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 8 + 0 + 7 + 1 + 5 + 7 + 98 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 513496608358 + ... + 513496609178.

It is an arithmetic number, because the mean of its divisors is an integer number (788569194240).

Almost surely, 2^{421580715798528} is an apocalyptic number.

421580715798528 is a gapful number since it is divisible by the number (48) 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 421580715798528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738100765808640).

421580715798528 is an abundant number, since it is smaller than the sum of its proper divisors (1054620815818752).

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

421580715798528 is a wasteful number, since it uses less digits than its factorization.

421580715798528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 72.

The spelling of 421580715798528 in words is "four hundred twenty-one trillion, five hundred eighty billion, seven hundred fifteen million, seven hundred ninety-eight thousand, five hundred twenty-eight".