288403441920 has 1296 divisors, whose sum is σ = 1163700545280. Its totient is φ = 68319313920.

The previous prime is 288403441891. The next prime is 288403441957. The reversal of 288403441920 is 29144304882.

288403441920 is a `hidden beast` number, since 2 + 88 + 40 + 3 + 441 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×288403441920² (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 143 ways as a sum of consecutive naturals, for example, 2973231312 + ... + 2973231408.

Almost surely, 2^288403441920 is an apocalyptic number.

288403441920 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 288403441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581850272640).

288403441920 is an abundant number, since it is smaller than the sum of its proper divisors (875297103360).

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

288403441920 is an equidigital number, since it uses as much as digits as its factorization.

288403441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 288403441920 in words is "two hundred eighty-eight billion, four hundred three million, four hundred forty-one thousand, nine hundred twenty".