4142280384 has 280 divisors, whose sum is σ = 14186568528. Its totient is φ = 1181122560.

The previous prime is 4142280371. The next prime is 4142280397. The reversal of 4142280384 is 4830822414.

It is an interprime number because it is at equal distance from previous prime (4142280371) and next prime (4142280397).

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

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 39 ways as a sum of consecutive naturals, for example, 967272 + ... + 971544.

Almost surely, 2^4142280384 is an apocalyptic number.

4142280384 is a gapful number since it is divisible by the number (44) 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 4142280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093284264).

4142280384 is an abundant number, since it is smaller than the sum of its proper divisors (10044288144).

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

4142280384 is a wasteful number, since it uses less digits than its factorization.

4142280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4142280384 is about 64360.5499044251. The cubic root of 4142280384 is about 1606.0035369569.

The spelling of 4142280384 in words is "four billion, one hundred forty-two million, two hundred eighty thousand, three hundred eighty-four".