4192425216 has 360 divisors, whose sum is σ = 15136228800. Its totient is φ = 1126711296.

The previous prime is 4192425203. The next prime is 4192425227. The reversal of 4192425216 is 6125242914.

It is a happy number.

4192425216 is a `hidden beast` number, since 4 + 1 + 92 + 42 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2466735 + ... + 2468433.

It is an arithmetic number, because the mean of its divisors is an integer number (42045080).

Almost surely, 2^4192425216 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 4192425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568114400).

4192425216 is an abundant number, since it is smaller than the sum of its proper divisors (10943803584).

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

4192425216 is a wasteful number, since it uses less digits than its factorization.

4192425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1728 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4192425216 is about 64748.9398832135. The cubic root of 4192425216 is about 1612.4581120541.

The spelling of 4192425216 in words is "four billion, one hundred ninety-two million, four hundred twenty-five thousand, two hundred sixteen".