42943522152960 has 3600 divisors, whose sum is σ = 189504822336984. Its totient is φ = 9231866265600.

The previous prime is 42943522152917. The next prime is 42943522152997. The reversal of 42943522152960 is 6925122534924.

42943522152960 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 3 + 52 + 2 + 1 + 529 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28647500656896 + 14296021496064 = 5352336^2 + 3781008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42943522152897 and 42943522152906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 313456366012 + ... + 313456366148.

Almost surely, 2^{42943522152960} is an apocalyptic number.

42943522152960 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 42943522152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94752411168492).

42943522152960 is an abundant number, since it is smaller than the sum of its proper divisors (146561300184024).

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

42943522152960 is a wasteful number, since it uses less digits than its factorization.

42943522152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 42943522152960 in words is "forty-two trillion, nine hundred forty-three billion, five hundred twenty-two million, one hundred fifty-two thousand, nine hundred sixty".