424882720080 has 840 divisors, whose sum is σ = 1855607374152. Its totient is φ = 89637746688.

The previous prime is 424882720063. The next prime is 424882720081. The reversal of 424882720080 is 80027288424.

424882720080 is a `hidden beast` number, since 424 + 8 + 82 + 72 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206324496 + 424676395584 = 14364^2 + 651672^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424882720081) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37144122 + ... + 37155558.

Almost surely, 2^424882720080 is an apocalyptic number.

424882720080 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 424882720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927803687076).

424882720080 is an abundant number, since it is smaller than the sum of its proper divisors (1430724654072).

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

424882720080 is a wasteful number, since it uses less digits than its factorization.

424882720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 424882720080 in words is "four hundred twenty-four billion, eight hundred eighty-two million, seven hundred twenty thousand, eighty".