4292292280320 has 1280 divisors, whose sum is σ = 16995769306560. Its totient is φ = 1040555704320.

The previous prime is 4292292280303. The next prime is 4292292280351. The reversal of 4292292280320 is 230822922924.

4292292280320 is a `hidden beast` number, since 4 + 2 + 9 + 229 + 22 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

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, 390208389115 + ... + 390208389125.

Almost surely, 2^{4292292280320} is an apocalyptic number.

4292292280320 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 4292292280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497884653280).

4292292280320 is an abundant number, since it is smaller than the sum of its proper divisors (12703477026240).

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

4292292280320 is an frugal number, since it uses more digits than its factorization.

4292292280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4292292280320 in words is "four trillion, two hundred ninety-two billion, two hundred ninety-two million, two hundred eighty thousand, three hundred twenty".