4250188425120 has 384 divisors, whose sum is σ = 15279781773312. Its totient is φ = 983828275200.

The previous prime is 4250188425101. The next prime is 4250188425137. The reversal of 4250188425120 is 215248810524.

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 63 ways as a sum of consecutive naturals, for example, 9965697 + ... + 10383423.

It is an arithmetic number, because the mean of its divisors is an integer number (39791098368).

Almost surely, 2^{4250188425120} is an apocalyptic number.

4250188425120 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 4250188425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639890886656).

4250188425120 is an abundant number, since it is smaller than the sum of its proper divisors (11029593348192).

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

4250188425120 is a wasteful number, since it uses less digits than its factorization.

4250188425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417844 (or 417836 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The spelling of 4250188425120 in words is "four trillion, two hundred fifty billion, one hundred eighty-eight million, four hundred twenty-five thousand, one hundred twenty".