4142962920 has 128 divisors (see below), whose sum is σ = 13107600000. Its totient is φ = 1044679680.

The previous prime is 4142962913. The next prime is 4142962937. The reversal of 4142962920 is 292692414.

It is a super-3 number, since 3×4142962920³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505706 + ... + 1508454.

It is an arithmetic number, because the mean of its divisors is an integer number (102403125).

Almost surely, 2^4142962920 is an apocalyptic number.

4142962920 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 4142962920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553800000).

4142962920 is an abundant number, since it is smaller than the sum of its proper divisors (8964637080).

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

4142962920 is a wasteful number, since it uses less digits than its factorization.

4142962920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4142962920 is about 64365.8521267294. The cubic root of 4142962920 is about 1606.0917407906.

The spelling of 4142962920 in words is "four billion, one hundred forty-two million, nine hundred sixty-two thousand, nine hundred twenty".