4142748960 has 576 divisors, whose sum is σ = 17118646272. Its totient is φ = 891906048.

The previous prime is 4142748931. The next prime is 4142748979. The reversal of 4142748960 is 698472414.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 24806797 + ... + 24806963.

It is an arithmetic number, because the mean of its divisors is an integer number (29719872).

Almost surely, 2^4142748960 is an apocalyptic number.

4142748960 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 4142748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559323136).

4142748960 is an abundant number, since it is smaller than the sum of its proper divisors (12975897312).

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

4142748960 is a wasteful number, since it uses less digits than its factorization.

4142748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4142748960 is about 64364.1900438435. The cubic root of 4142748960 is about 1606.0640918743.

The spelling of 4142748960 in words is "four billion, one hundred forty-two million, seven hundred forty-eight thousand, nine hundred sixty".