4142338560 has 240 divisors, whose sum is σ = 14447182464. Its totient is φ = 1096851456.

The previous prime is 4142338559. The next prime is 4142338573. The reversal of 4142338560 is 658332414.

4142338560 is a `hidden beast` number, since 41 + 4 + 23 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754969 + ... + 3756071.

Almost surely, 2^4142338560 is an apocalyptic number.

4142338560 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 4142338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223591232).

4142338560 is an abundant number, since it is smaller than the sum of its proper divisors (10304843904).

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

4142338560 is a wasteful number, since it uses less digits than its factorization.

4142338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4142338560 is about 64361.0018567144. The cubic root of 4142338560 is about 1606.0110553941.

The spelling of 4142338560 in words is "four billion, one hundred forty-two million, three hundred thirty-eight thousand, five hundred sixty".