40931233652736 has 1344 divisors, whose sum is σ = 143259285012480. Its totient is φ = 11437513113600.

The previous prime is 40931233652731. The next prime is 40931233652737. The reversal of 40931233652736 is 63725633213904.

40931233652736 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 1 + 2 + 3 + 365 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40931233652731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178739011470 + ... + 178739011698.

It is an arithmetic number, because the mean of its divisors is an integer number (106591729920).

Almost surely, 2^{40931233652736} 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 40931233652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71629642506240).

40931233652736 is an abundant number, since it is smaller than the sum of its proper divisors (102328051359744).

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

40931233652736 is a wasteful number, since it uses less digits than its factorization.

40931233652736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 40931233652736 in words is "forty trillion, nine hundred thirty-one billion, two hundred thirty-three million, six hundred fifty-two thousand, seven hundred thirty-six".