422880756480 has 2160 divisors, whose sum is σ = 2001276557280. Its totient is φ = 84276412416.

The previous prime is 422880756457. The next prime is 422880756509. The reversal of 422880756480 is 84657088224.

422880756480 is a `hidden beast` number, since 422 + 8 + 80 + 7 + 5 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1254838872 + ... + 1254839208.

Almost surely, 2^422880756480 is an apocalyptic number.

422880756480 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 422880756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000638278640).

422880756480 is an abundant number, since it is smaller than the sum of its proper divisors (1578395800800).

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

422880756480 is a wasteful number, since it uses less digits than its factorization.

422880756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 422880756480 in words is "four hundred twenty-two billion, eight hundred eighty million, seven hundred fifty-six thousand, four hundred eighty".