40806376097760 has 1920 divisors, whose sum is σ = 187041694371840. Its totient is φ = 8142348386304.

The previous prime is 40806376097719. The next prime is 40806376097771. The reversal of 40806376097760 is 6779067360804.

40806376097760 is a `hidden beast` number, since 40 + 80 + 6 + 376 + 0 + 97 + 7 + 60 = 666.

40806376097760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 2414141469 + ... + 2414158371.

It is an arithmetic number, because the mean of its divisors is an integer number (97417549152).

Almost surely, 2^{40806376097760} is an apocalyptic number.

40806376097760 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 40806376097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93520847185920).

40806376097760 is an abundant number, since it is smaller than the sum of its proper divisors (146235318274080).

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

40806376097760 is a wasteful number, since it uses less digits than its factorization.

40806376097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 40806376097760 in words is "forty trillion, eight hundred six billion, three hundred seventy-six million, ninety-seven thousand, seven hundred sixty".