40246525153368 has 192 divisors, whose sum is σ = 112316325937920. Its totient is φ = 13009893408000.

The previous prime is 40246525153361. The next prime is 40246525153403. The reversal of 40246525153368 is 86335152564204.

40246525153368 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 6 + 52 + 51 + 533 + 6 + 8 = 666.

40246525153368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40246525153361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2635479573 + ... + 2635494843.

It is an arithmetic number, because the mean of its divisors is an integer number (584980864260).

Almost surely, 2^{40246525153368} 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 40246525153368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56158162968960).

40246525153368 is an abundant number, since it is smaller than the sum of its proper divisors (72069800784552).

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

40246525153368 is a wasteful number, since it uses less digits than its factorization.

40246525153368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518 (or 18511 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 40246525153368 in words is "forty trillion, two hundred forty-six billion, five hundred twenty-five million, one hundred fifty-three thousand, three hundred sixty-eight".