84280909440 has 768 divisors, whose sum is σ = 339675275520. Its totient is φ = 17617453056.

The previous prime is 84280909411. The next prime is 84280909501. The reversal of 84280909440 is 4490908248.

It is a super-3 number, since 3×84280909440³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84280909440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167556229 + ... + 167556731.

It is an arithmetic number, because the mean of its divisors is an integer number (442285515).

Almost surely, 2^84280909440 is an apocalyptic number.

84280909440 is a gapful number since it is divisible by the number (80) 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 84280909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169837637760).

84280909440 is an abundant number, since it is smaller than the sum of its proper divisors (255394366080).

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

84280909440 is a wasteful number, since it uses less digits than its factorization.

84280909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 84280909440 in words is "eighty-four billion, two hundred eighty million, nine hundred nine thousand, four hundred forty".