4142353920 has 320 divisors, whose sum is σ = 13877968896. Its totient is φ = 1052835840.

The previous prime is 4142353877. The next prime is 4142353921. The reversal of 4142353920 is 293532414.

4142353920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142353921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30236092 + ... + 30236228.

Almost surely, 2^4142353920 is an apocalyptic number.

4142353920 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 4142353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938984448).

4142353920 is an abundant number, since it is smaller than the sum of its proper divisors (9735614976).

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

4142353920 is a wasteful number, since it uses less digits than its factorization.

4142353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4142353920 is about 64361.1211835220. The cubic root of 4142353920 is about 1606.0130404482.

It can be divided in two parts, 414235 and 3920, that added together give a triangular number (418155 = T₉₁₄).

The spelling of 4142353920 in words is "four billion, one hundred forty-two million, three hundred fifty-three thousand, nine hundred twenty".