4287351662880 has 768 divisors, whose sum is σ = 17683781068800. Its totient is φ = 855442391040.

The previous prime is 4287351662857. The next prime is 4287351662917. The reversal of 4287351662880 is 882661537824.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22074031 + ... + 22267409.

It is an arithmetic number, because the mean of its divisors is an integer number (23025756600).

Almost surely, 2^{4287351662880} is an apocalyptic number.

4287351662880 is a gapful number since it is divisible by the number (40) 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 4287351662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841890534400).

4287351662880 is an abundant number, since it is smaller than the sum of its proper divisors (13396429405920).

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

4287351662880 is a wasteful number, since it uses less digits than its factorization.

4287351662880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193457 (or 193449 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

It can be divided in two parts, 4287351 and 662880, that added together give a triangular number (4950231 = T₃₁₄₆).

The spelling of 4287351662880 in words is "four trillion, two hundred eighty-seven billion, three hundred fifty-one million, six hundred sixty-two thousand, eight hundred eighty".