4250304192288 has 1536 divisors, whose sum is σ = 15667386384384. Its totient is φ = 983549952000.

The previous prime is 4250304192241. The next prime is 4250304192301. The reversal of 4250304192288 is 8822914030524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33466962081 + ... + 33466962207.

It is an arithmetic number, because the mean of its divisors is an integer number (10200121344).

Almost surely, 2^{4250304192288} is an apocalyptic number.

4250304192288 is a gapful number since it is divisible by the number (48) 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 4250304192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833693192192).

4250304192288 is an abundant number, since it is smaller than the sum of its proper divisors (11417082192096).

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

4250304192288 is a wasteful number, since it uses less digits than its factorization.

4250304192288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 4250304192288 in words is "four trillion, two hundred fifty billion, three hundred four million, one hundred ninety-two thousand, two hundred eighty-eight".