286341834240 has 1920 divisors, whose sum is σ = 1314525864960. Its totient is φ = 57808650240.

The previous prime is 286341834239. The next prime is 286341834269. The reversal of 286341834240 is 42438143682.

It is a happy number.

286341834240 is a `hidden beast` number, since 2 + 8 + 634 + 1 + 8 + 3 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 3922490844 + ... + 3922490916.

It is an arithmetic number, because the mean of its divisors is an integer number (684648888).

Almost surely, 2^286341834240 is an apocalyptic number.

286341834240 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 286341834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657262932480).

286341834240 is an abundant number, since it is smaller than the sum of its proper divisors (1028184030720).

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

286341834240 is a wasteful number, since it uses less digits than its factorization.

286341834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 286341834240 in words is "two hundred eighty-six billion, three hundred forty-one million, eight hundred thirty-four thousand, two hundred forty".