40041211351680 has 2304 divisors, whose sum is σ = 184556248531200. Its totient is φ = 8030876958720.

The previous prime is 40041211351597. The next prime is 40041211351723. The reversal of 40041211351680 is 8615311214004.

40041211351680 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 121 + 13 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 12309008934 + ... + 12309012186.

It is an arithmetic number, because the mean of its divisors is an integer number (80102538425).

Almost surely, 2^{40041211351680} is an apocalyptic number.

40041211351680 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 40041211351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92278124265600).

40041211351680 is an abundant number, since it is smaller than the sum of its proper divisors (144515037179520).

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

40041211351680 is a wasteful number, since it uses less digits than its factorization.

40041211351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 40041211351680 its reverse (8615311214004), we get a palindrome (48656522565684).

The spelling of 40041211351680 in words is "forty trillion, forty-one billion, two hundred eleven million, three hundred fifty-one thousand, six hundred eighty".