4142074860 has 768 divisors, whose sum is σ = 17418240000. Its totient is φ = 807770880.

The previous prime is 4142074847. The next prime is 4142074873. The reversal of 4142074860 is 684702414.

It is an interprime number because it is at equal distance from previous prime (4142074847) and next prime (4142074873).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38710927 + ... + 38711033.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^4142074860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142074860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120000).

4142074860 is an abundant number, since it is smaller than the sum of its proper divisors (13276165140).

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

4142074860 is a wasteful number, since it uses less digits than its factorization.

4142074860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4142074860 is about 64358.9532233084. The cubic root of 4142074860 is about 1605.9769752808.

The spelling of 4142074860 in words is "four billion, one hundred forty-two million, seventy-four thousand, eight hundred sixty".