4202713531920 has 160 divisors (see below), whose sum is σ = 13270825434240. Its totient is φ = 1100063047680.

The previous prime is 4202713531909. The next prime is 4202713531949. The reversal of 4202713531920 is 291353172024.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 2048400 + ... + 3549840.

It is an arithmetic number, because the mean of its divisors is an integer number (82942658964).

Almost surely, 2^{4202713531920} is an apocalyptic number.

4202713531920 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 4202713531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635412717120).

4202713531920 is an abundant number, since it is smaller than the sum of its proper divisors (9068111902320).

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

4202713531920 is a wasteful number, since it uses less digits than its factorization.

4202713531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501673 (or 1501667 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 4202713531920 in words is "four trillion, two hundred two billion, seven hundred thirteen million, five hundred thirty-one thousand, nine hundred twenty".