4288471440000 has 640 divisors, whose sum is σ = 16203939079680. Its totient is φ = 994414080000.

The previous prime is 4288471439999. The next prime is 4288471440037. The reversal of 4288471440000 is 441748824.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60684687 + ... + 60755313.

It is an arithmetic number, because the mean of its divisors is an integer number (25318654812).

Almost surely, 2^{4288471440000} is an apocalyptic number.

4288471440000 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 4288471440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101969539840).

4288471440000 is an abundant number, since it is smaller than the sum of its proper divisors (11915467639680).

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

4288471440000 is a wasteful number, since it uses less digits than its factorization.

4288471440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70698 (or 70671 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 4288471440000 in words is "four trillion, two hundred eighty-eight billion, four hundred seventy-one million, four hundred forty thousand".