57340162440 has 960 divisors, whose sum is σ = 224555284800. Its totient is φ = 13097272320.

The previous prime is 57340162433. The next prime is 57340162441. The reversal of 57340162440 is 4426104375.

57340162440 is a `hidden beast` number, since 5 + 7 + 3 + 401 + 6 + 244 + 0 = 666.

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 = 57340162395 and 57340162404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57340162441) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 855823287 + ... + 855823353.

It is an arithmetic number, because the mean of its divisors is an integer number (233911755).

Almost surely, 2^57340162440 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 57340162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112277642400).

57340162440 is an abundant number, since it is smaller than the sum of its proper divisors (167215122360).

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

57340162440 is a wasteful number, since it uses less digits than its factorization.

57340162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 57340162440 in words is "fifty-seven billion, three hundred forty million, one hundred sixty-two thousand, four hundred forty".