40299821454816 has 1920 divisors, whose sum is σ = 160801986723840. Its totient is φ = 9586128384000.

The previous prime is 40299821454811. The next prime is 40299821454847. The reversal of 40299821454816 is 61845412899204.

It is a happy number.

40299821454816 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 9 + 8 + 2 + 145 + 481 + 6 = 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 (40299821454811) 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 319 ways as a sum of consecutive naturals, for example, 16469071705 + ... + 16469074151.

It is an arithmetic number, because the mean of its divisors is an integer number (83751034752).

Almost surely, 2^{40299821454816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40299821454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80400993361920).

40299821454816 is an abundant number, since it is smaller than the sum of its proper divisors (120502165269024).

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

40299821454816 is a wasteful number, since it uses less digits than its factorization.

40299821454816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 40299821454816 in words is "forty trillion, two hundred ninety-nine billion, eight hundred twenty-one million, four hundred fifty-four thousand, eight hundred sixteen".