40200188041728 has 960 divisors, whose sum is σ = 139470985285632. Its totient is φ = 10984453079040.

The previous prime is 40200188041711. The next prime is 40200188041729. The reversal of 40200188041728 is 82714088100204.

40200188041728 is a `hidden beast` number, since 4 + 0 + 200 + 1 + 8 + 8 + 0 + 417 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (40200188041729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23010982551 + ... + 23010984297.

Almost surely, 2^{40200188041728} is an apocalyptic number.

40200188041728 is a gapful number since it is divisible by the number (48) 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 40200188041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69735492642816).

40200188041728 is an abundant number, since it is smaller than the sum of its proper divisors (99270797243904).

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

40200188041728 is a wasteful number, since it uses less digits than its factorization.

40200188041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 40200188041728 in words is "forty trillion, two hundred billion, one hundred eighty-eight million, forty-one thousand, seven hundred twenty-eight".