40533101455392 has 576 divisors, whose sum is σ = 143584248278016. Its totient is φ = 10561027276800.

The previous prime is 40533101455303. The next prime is 40533101455393. The reversal of 40533101455392 is 29355410133504.

40533101455392 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 3 + 1 + 0 + 1 + 4 + 553 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (40533101455393) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1225548168 + ... + 1225581240.

It is an arithmetic number, because the mean of its divisors is an integer number (249278208816).

Almost surely, 2^{40533101455392} is an apocalyptic number.

40533101455392 is a gapful number since it is divisible by the number (42) 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 40533101455392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71792124139008).

40533101455392 is an abundant number, since it is smaller than the sum of its proper divisors (103051146822624).

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

40533101455392 is a wasteful number, since it uses less digits than its factorization.

40533101455392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33673 (or 33662 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

Adding to 40533101455392 its reverse (29355410133504), we get a palindrome (69888511588896).

The spelling of 40533101455392 in words is "forty trillion, five hundred thirty-three billion, one hundred one million, four hundred fifty-five thousand, three hundred ninety-two".