43785143640 has 384 divisors, whose sum is σ = 168699024000. Its totient is φ = 9842273280.

The previous prime is 43785143629. The next prime is 43785143671. The reversal of 43785143640 is 4634158734.

43785143640 is a `hidden beast` number, since 4 + 3 + 78 + 514 + 3 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7529374 + ... + 7535186.

It is an arithmetic number, because the mean of its divisors is an integer number (439320375).

Almost surely, 2^43785143640 is an apocalyptic number.

43785143640 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 43785143640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84349512000).

43785143640 is an abundant number, since it is smaller than the sum of its proper divisors (124913880360).

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

43785143640 is a wasteful number, since it uses less digits than its factorization.

43785143640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 43785143640 in words is "forty-three billion, seven hundred eighty-five million, one hundred forty-three thousand, six hundred forty".