4142505205320 has 128 divisors (see below), whose sum is σ = 12858078672000. Its totient is φ = 1066407802880.

The previous prime is 4142505205283. The next prime is 4142505205373. The reversal of 4142505205320 is 235025052414.

It is a happy number.

It is a super-2 number, since 2×4142505205320² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22769515 + ... + 22950725.

It is an arithmetic number, because the mean of its divisors is an integer number (100453739625).

Almost surely, 2^{4142505205320} is an apocalyptic number.

4142505205320 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 4142505205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429039336000).

4142505205320 is an abundant number, since it is smaller than the sum of its proper divisors (8715573466680).

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

4142505205320 is a wasteful number, since it uses less digits than its factorization.

4142505205320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187823 (or 187819 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 4142505205320 in words is "four trillion, one hundred forty-two billion, five hundred five million, two hundred five thousand, three hundred twenty".