4142880 has 192 divisors, whose sum is σ = 16692480. Its totient is φ = 940032.

The previous prime is 4142863. The next prime is 4142891. The reversal of 4142880 is 882414.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30172 + ... + 30308.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

Almost surely, 2^4142880 is an apocalyptic number.

4142880 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 4142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

4142880 is an abundant number, since it is smaller than the sum of its proper divisors (12549600).

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

4142880 is a wasteful number, since it uses less digits than its factorization.

4142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4142880 is about 2035.4065932879. The cubic root of 4142880 is about 160.6081025592.

It can be divided in two parts, 4 and 142880, that added together give a square (142884 = 378²).

The spelling of 4142880 in words is "four million, one hundred forty-two thousand, eight hundred eighty".