4142893680 has 120 divisors (see below), whose sum is σ = 13928879328. Its totient is φ = 1103528448.

The previous prime is 4142893679. The next prime is 4142893697. The reversal of 4142893680 is 863982414.

It is a happy number.

4142893680 is a `hidden beast` number, since 4 + 1 + 4 + 289 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4142893680³ (a number of 30 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 762654 + ... + 768066.

Almost surely, 2^4142893680 is an apocalyptic number.

4142893680 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 4142893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964439664).

4142893680 is an abundant number, since it is smaller than the sum of its proper divisors (9785985648).

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

4142893680 is a wasteful number, since it uses less digits than its factorization.

4142893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4142893680 is about 64365.3142616425. The cubic root of 4142893680 is about 1606.0827933767.

The spelling of 4142893680 in words is "four billion, one hundred forty-two million, eight hundred ninety-three thousand, six hundred eighty".