52468105642040 has 128 divisors (see below), whose sum is σ = 133006155909120. Its totient is φ = 18454621785600.

The previous prime is 52468105642013. The next prime is 52468105642049. The reversal of 52468105642040 is 4024650186425.

It is a super-3 number, since 3×52468105642040³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52468105642049) 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, 26360702 + ... + 28281138.

It is an arithmetic number, because the mean of its divisors is an integer number (1039110593040).

Almost surely, 2^{52468105642040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52468105642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66503077954560).

52468105642040 is an abundant number, since it is smaller than the sum of its proper divisors (80538050267080).

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

52468105642040 is a wasteful number, since it uses less digits than its factorization.

52468105642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922493 (or 1922489 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The spelling of 52468105642040 in words is "fifty-two trillion, four hundred sixty-eight billion, one hundred five million, six hundred forty-two thousand, forty".