42971745600 has 378 divisors, whose sum is σ = 177670439934. Its totient is φ = 9821952000.

The previous prime is 42971745587. The next prime is 42971745601. The reversal of 42971745600 is 654717924.

42971745600 is a `hidden beast` number, since 4 + 29 + 7 + 17 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 825297984 + 42146447616 = 28728^2 + 205296^2 .

It is a super-2 number, since 2×42971745600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42971745601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 675150 + ... + 736050.

Almost surely, 2^42971745600 is an apocalyptic number.

42971745600 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 42971745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88835219967).

42971745600 is an abundant number, since it is smaller than the sum of its proper divisors (134698694334).

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

42971745600 is a wasteful number, since it uses less digits than its factorization.

42971745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60943 (or 60918 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 42971745600 in words is "forty-two billion, nine hundred seventy-one million, seven hundred forty-five thousand, six hundred".