40910769930240 has 480 divisors, whose sum is σ = 166235578575360. Its totient is φ = 9351029587968.

The previous prime is 40910769930221. The next prime is 40910769930253. The reversal of 40910769930240 is 4203996701904.

40910769930240 is a `hidden beast` number, since 409 + 10 + 76 + 99 + 30 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14161719 + ... + 16804041.

It is an arithmetic number, because the mean of its divisors is an integer number (346324122032).

Almost surely, 2^{40910769930240} is an apocalyptic number.

40910769930240 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 40910769930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83117789287680).

40910769930240 is an abundant number, since it is smaller than the sum of its proper divisors (125324808645120).

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

40910769930240 is an equidigital number, since it uses as much as digits as its factorization.

40910769930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642372 (or 2642340 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40910769930240 in words is "forty trillion, nine hundred ten billion, seven hundred sixty-nine million, nine hundred thirty thousand, two hundred forty".