52142134026240 has 448 divisors, whose sum is σ = 185446002813120. Its totient is φ = 13899839569920.

The previous prime is 52142134026221. The next prime is 52142134026259. The reversal of 52142134026240 is 4262043124125.

52142134026240 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 2 + 1 + 3 + 402 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (52142134026221) and next prime (52142134026259).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52142134026195 and 52142134026204.

It is a congruent number.

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, 4287645760 + ... + 4287657920.

It is an arithmetic number, because the mean of its divisors is an integer number (413941970565).

Almost surely, 2^{52142134026240} 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 52142134026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92723001406560).

52142134026240 is an abundant number, since it is smaller than the sum of its proper divisors (133303868786880).

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

52142134026240 is a wasteful number, since it uses less digits than its factorization.

52142134026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 52142134026240 in words is "fifty-two trillion, one hundred forty-two billion, one hundred thirty-four million, twenty-six thousand, two hundred forty".