40983544377216 has 256 divisors, whose sum is σ = 144248501836800. Its totient is φ = 11200471603200.

The previous prime is 40983544377211. The next prime is 40983544377283. The reversal of 40983544377216 is 61277344538904.

40983544377216 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 3 + 5 + 44 + 377 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40983544377211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36271735 + ... + 37384566.

It is an arithmetic number, because the mean of its divisors is an integer number (563470710300).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40983544377216 = 81967088754432, but 3⋅40983544377216 = 122950633131648 is not.

Almost surely, 2^{40983544377216} is an apocalyptic number.

40983544377216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40983544377216 is an abundant number, since it is smaller than the sum of its proper divisors (103264957459584).

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

40983544377216 is a wasteful number, since it uses less digits than its factorization.

40983544377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73656354 (or 73656336 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 40983544377216 in words is "forty trillion, nine hundred eighty-three billion, five hundred forty-four million, three hundred seventy-seven thousand, two hundred sixteen".