4284805392000 has 2880 divisors, whose sum is σ = 19737385541640. Its totient is φ = 921773260800.

The previous prime is 4284805391957. The next prime is 4284805392029. The reversal of 4284805392000 is 2935084824.

It can be written as a sum of positive squares in 4 ways, for example, as 1864142392896 + 2420662999104 = 1365336^2 + 1555848^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 252047375992 + ... + 252047376008.

Almost surely, 2^{4284805392000} is an apocalyptic number.

4284805392000 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 4284805392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868692770820).

4284805392000 is an abundant number, since it is smaller than the sum of its proper divisors (15452580149640).

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

4284805392000 is an frugal number, since it uses more digits than its factorization.

4284805392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4284805392000 in words is "four trillion, two hundred eighty-four billion, eight hundred five million, three hundred ninety-two thousand".