42957663840 has 864 divisors, whose sum is σ = 183708435456. Its totient is φ = 8949657600.

The previous prime is 42957663829. The next prime is 42957663841. The reversal of 42957663840 is 4836675924.

42957663840 is a `hidden beast` number, since 4 + 2 + 9 + 576 + 63 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×42957663840³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42957663841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 257231437 + ... + 257231603.

It is an arithmetic number, because the mean of its divisors is an integer number (212625504).

Almost surely, 2^42957663840 is an apocalyptic number.

42957663840 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 42957663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91854217728).

42957663840 is an abundant number, since it is smaller than the sum of its proper divisors (140750771616).

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

42957663840 is a wasteful number, since it uses less digits than its factorization.

42957663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42957663840 in words is "forty-two billion, nine hundred fifty-seven million, six hundred sixty-three thousand, eight hundred forty".