286139406400 has 189 divisors, whose sum is σ = 723161817453. Its totient is φ = 111434534400.

The previous prime is 286139406347. The next prime is 286139406409. The reversal of 286139406400 is 4604931682.

It is a happy number.

The square root of 286139406400 is 534920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 103010186304 + 183129220096 = 320952^2 + 427936^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (286139406409) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 920062245 + ... + 920062555.

Almost surely, 2^286139406400 is an apocalyptic number.

286139406400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

286139406400 is the 534920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286139406400

286139406400 is an abundant number, since it is smaller than the sum of its proper divisors (437022411053).

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

286139406400 is an frugal number, since it uses more digits than its factorization.

286139406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 286139406400 in words is "two hundred eighty-six billion, one hundred thirty-nine million, four hundred six thousand, four hundred".