40609720811520 has 4320 divisors, whose sum is σ = 187964849479680. Its totient is φ = 8347377991680.

The previous prime is 40609720811519. The next prime is 40609720811533. The reversal of 40609720811520 is 2511802790604.

40609720811520 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 97 + 20 + 8 + 11 + 520 = 666.

40609720811520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 514047098841 + ... + 514047098919.

It is an arithmetic number, because the mean of its divisors is an integer number (43510381824).

Almost surely, 2^{40609720811520} is an apocalyptic number.

40609720811520 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 40609720811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93982424739840).

40609720811520 is an abundant number, since it is smaller than the sum of its proper divisors (147355128668160).

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

40609720811520 is an equidigital number, since it uses as much as digits as its factorization.

40609720811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40609720811520 in words is "forty trillion, six hundred nine billion, seven hundred twenty million, eight hundred eleven thousand, five hundred twenty".