421461826478784 has 4480 divisors, whose sum is σ = 1703783910850560. Its totient is φ = 100015534080000.

The previous prime is 421461826478731. The next prime is 421461826478801. The reversal of 421461826478784 is 487874628164124.

421461826478784 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 6 + 1 + 82 + 6 + 478 + 78 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1679130782659 + ... + 1679130782909.

It is an arithmetic number, because the mean of its divisors is an integer number (380308908672).

Almost surely, 2^{421461826478784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421461826478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851891955425280).

421461826478784 is an abundant number, since it is smaller than the sum of its proper divisors (1282322084371776).

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

421461826478784 is a wasteful number, since it uses less digits than its factorization.

421461826478784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its digits is 924844032, while the sum is 72.

The spelling of 421461826478784 in words is "four hundred twenty-one trillion, four hundred sixty-one billion, eight hundred twenty-six million, four hundred seventy-eight thousand, seven hundred eighty-four".