424474131787776 has 1560 divisors, whose sum is σ = 1562754567203280. Its totient is φ = 114150394036224.

The previous prime is 424474131787763. The next prime is 424474131787777. The reversal of 424474131787776 is 677787131474424.

424474131787776 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 7 + 413 + 1 + 78 + 77 + 76 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424474131787777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48494698216 + ... + 48494706968.

Almost surely, 2^{424474131787776} 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 424474131787776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781377283601640).

424474131787776 is an abundant number, since it is smaller than the sum of its proper divisors (1138280435415504).

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

424474131787776 is a wasteful number, since it uses less digits than its factorization.

424474131787776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8941 counting only the distinct ones).

The product of its digits is 1239146496, while the sum is 72.

The spelling of 424474131787776 in words is "four hundred twenty-four trillion, four hundred seventy-four billion, one hundred thirty-one million, seven hundred eighty-seven thousand, seven hundred seventy-six".