4488287126400 has 2304 divisors, whose sum is σ = 20890266508800. Its totient is φ = 890265600000.

The previous prime is 4488287126363. The next prime is 4488287126419. The reversal of 4488287126400 is 46217828844.

4488287126400 is a `hidden beast` number, since 448 + 82 + 87 + 1 + 2 + 6 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6495350055 + ... + 6495350745.

It is an arithmetic number, because the mean of its divisors is an integer number (9066955950).

Almost surely, 2^{4488287126400} is an apocalyptic number.

4488287126400 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 4488287126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445133254400).

4488287126400 is an abundant number, since it is smaller than the sum of its proper divisors (16401979382400).

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

4488287126400 is a wasteful number, since it uses less digits than its factorization.

4488287126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 4488287126400 in words is "four trillion, four hundred eighty-eight billion, two hundred eighty-seven million, one hundred twenty-six thousand, four hundred".