40031775334656 has 504 divisors, whose sum is σ = 142874294129280. Its totient is φ = 10940352749568.

The previous prime is 40031775334531. The next prime is 40031775334703. The reversal of 40031775334656 is 65643357713004.

It is a happy number.

40031775334656 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 17 + 7 + 533 + 46 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29380300 + ... + 30712628.

It is an arithmetic number, because the mean of its divisors is an integer number (283480742320).

Almost surely, 2^{40031775334656} is an apocalyptic number.

40031775334656 is a gapful number since it is divisible by the number (46) 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 40031775334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71437147064640).

40031775334656 is an abundant number, since it is smaller than the sum of its proper divisors (102842518794624).

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

40031775334656 is an equidigital number, since it uses as much as digits as its factorization.

40031775334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332393 (or 1332364 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 40031775334656 in words is "forty trillion, thirty-one billion, seven hundred seventy-five million, three hundred thirty-four thousand, six hundred fifty-six".