4287087542400 has 384 divisors, whose sum is σ = 15228262828800. Its totient is φ = 1053793320960.

The previous prime is 4287087542393. The next prime is 4287087542429. The reversal of 4287087542400 is 42457807824.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89707312 + ... + 89755088.

It is an arithmetic number, because the mean of its divisors is an integer number (39656934450).

Almost surely, 2^{4287087542400} is an apocalyptic number.

4287087542400 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 4287087542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614131414400).

4287087542400 is an abundant number, since it is smaller than the sum of its proper divisors (10941175286400).

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

4287087542400 is a wasteful number, since it uses less digits than its factorization.

4287087542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48536 (or 48519 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 4287087542400 in words is "four trillion, two hundred eighty-seven billion, eighty-seven million, five hundred forty-two thousand, four hundred".