4142196072 has 96 divisors (see below), whose sum is σ = 12886473600. Its totient is φ = 1177448832.

The previous prime is 4142196049. The next prime is 4142196077. The reversal of 4142196072 is 2706912414.

It is a happy number.

4142196072 is a `hidden beast` number, since 4 + 1 + 42 + 1 + 9 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4142196077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78429 + ... + 120147.

It is an arithmetic number, because the mean of its divisors is an integer number (134234100).

Almost surely, 2^4142196072 is an apocalyptic number.

4142196072 is a gapful number since it is divisible by the number (42) 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 4142196072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443236800).

4142196072 is an abundant number, since it is smaller than the sum of its proper divisors (8744277528).

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

4142196072 is a wasteful number, since it uses less digits than its factorization.

4142196072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41935 (or 41928 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4142196072 is about 64359.8949035811. The cubic root of 4142196072 is about 1605.9926406811.

The spelling of 4142196072 in words is "four billion, one hundred forty-two million, one hundred ninety-six thousand, seventy-two".