4287973225536 has 3024 divisors, whose sum is σ = 18552690636480. Its totient is φ = 965040168960.

The previous prime is 4287973225507. The next prime is 4287973225559. The reversal of 4287973225536 is 6355223797824.

4287973225536 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 9 + 73 + 2 + 2 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 39339203850 + ... + 39339203958.

It is an arithmetic number, because the mean of its divisors is an integer number (6135149020).

Almost surely, 2^{4287973225536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287973225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276345318240).

4287973225536 is an abundant number, since it is smaller than the sum of its proper divisors (14264717410944).

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

4287973225536 is a wasteful number, since it uses less digits than its factorization.

4287973225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 164 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 4287973225536 in words is "four trillion, two hundred eighty-seven billion, nine hundred seventy-three million, two hundred twenty-five thousand, five hundred thirty-six".