40369999242240 has 704 divisors, whose sum is σ = 146964604089600. Its totient is φ = 10503486701568.

The previous prime is 40369999242229. The next prime is 40369999242289. The reversal of 40369999242240 is 4224299996304.

40369999242240 is a `hidden beast` number, since 4 + 0 + 3 + 69 + 9 + 99 + 242 + 240 = 666.

40369999242240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6354474904 + ... + 6354481256.

It is an arithmetic number, because the mean of its divisors is an integer number (208756539900).

Almost surely, 2^{40369999242240} is an apocalyptic number.

40369999242240 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 40369999242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73482302044800).

40369999242240 is an abundant number, since it is smaller than the sum of its proper divisors (106594604847360).

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

40369999242240 is a wasteful number, since it uses less digits than its factorization.

40369999242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 40369999242240 in words is "forty trillion, three hundred sixty-nine billion, nine hundred ninety-nine million, two hundred forty-two thousand, two hundred forty".