286083055440 has 1280 divisors, whose sum is σ = 1252719820800. Its totient is φ = 58406510592.

The previous prime is 286083055387. The next prime is 286083055507. The reversal of 286083055440 is 44550380682.

286083055440 is a `hidden beast` number, since 2 + 8 + 60 + 8 + 30 + 554 + 4 + 0 = 666.

It is a super-2 number, since 2×286083055440² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1598229271 + ... + 1598229449.

It is an arithmetic number, because the mean of its divisors is an integer number (978687360).

Almost surely, 2^286083055440 is an apocalyptic number.

286083055440 is a gapful number since it is divisible by the number (20) 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 286083055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626359910400).

286083055440 is an abundant number, since it is smaller than the sum of its proper divisors (966636765360).

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

286083055440 is a wasteful number, since it uses less digits than its factorization.

286083055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 286083055440 in words is "two hundred eighty-six billion, eighty-three million, fifty-five thousand, four hundred forty".