4142695680 has 216 divisors, whose sum is σ = 14668381728. Its totient is φ = 1078898688.

The previous prime is 4142695673. The next prime is 4142695703. The reversal of 4142695680 is 865962414.

4142695680 is a `hidden beast` number, since 41 + 42 + 6 + 9 + 568 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491179 + ... + 499541.

Almost surely, 2^4142695680 is an apocalyptic number.

4142695680 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 4142695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334190864).

4142695680 is an abundant number, since it is smaller than the sum of its proper divisors (10525686048).

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

4142695680 is a wasteful number, since it uses less digits than its factorization.

4142695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4142695680 is about 64363.7761477681. The cubic root of 4142695680 is about 1606.0572066344.

The spelling of 4142695680 in words is "four billion, one hundred forty-two million, six hundred ninety-five thousand, six hundred eighty".