288399398400 has 840 divisors, whose sum is σ = 1106975500224. Its totient is φ = 74351001600.

The previous prime is 288399398387. The next prime is 288399398459. The reversal of 288399398400 is 4893993882.

288399398400 is a `hidden beast` number, since 28 + 8 + 39 + 93 + 98 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 289266702 + ... + 289267698.

Almost surely, 2^288399398400 is an apocalyptic number.

288399398400 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 288399398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553487750112).

288399398400 is an abundant number, since it is smaller than the sum of its proper divisors (818576101824).

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

288399398400 is an frugal number, since it uses more digits than its factorization.

288399398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 288399398400 in words is "two hundred eighty-eight billion, three hundred ninety-nine million, three hundred ninety-eight thousand, four hundred".