4192440120 has 384 divisors, whose sum is σ = 15595856640. Its totient is φ = 1004451840.

The previous prime is 4192440107. The next prime is 4192440121. The reversal of 4192440120 is 210442914.

It is a happy number.

4192440120 is a `hidden beast` number, since 419 + 244 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×4192440120² = 35153108319571228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192440121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12081787 + ... + 12082133.

It is an arithmetic number, because the mean of its divisors is an integer number (40614210).

Almost surely, 2^4192440120 is an apocalyptic number.

4192440120 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 4192440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797928320).

4192440120 is an abundant number, since it is smaller than the sum of its proper divisors (11403416520).

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

4192440120 is a wasteful number, since it uses less digits than its factorization.

4192440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4192440120 is about 64749.0549737987. The cubic root of 4192440120 is about 1612.4600228055.

The spelling of 4192440120 in words is "four billion, one hundred ninety-two million, four hundred forty thousand, one hundred twenty".