40345562216520 has 192 divisors, whose sum is σ = 147657659235840. Its totient is φ = 9465234508800.

The previous prime is 40345562216513. The next prime is 40345562216521. The reversal of 40345562216520 is 2561226554304.

40345562216520 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 5 + 5 + 622 + 16 + 5 + 2 + 0 = 666.

40345562216520 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 (45).

It is not an unprimeable number, because it can be changed into a prime (40345562216521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 164204229 + ... + 164449748.

It is an arithmetic number, because the mean of its divisors is an integer number (769050308520).

Almost surely, 2^{40345562216520} is an apocalyptic number.

40345562216520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40345562216520 is an abundant number, since it is smaller than the sum of its proper divisors (107312097019320).

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

40345562216520 is a wasteful number, since it uses less digits than its factorization.

40345562216520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328654036 (or 328654029 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 40345562216520 in words is "forty trillion, three hundred forty-five billion, five hundred sixty-two million, two hundred sixteen thousand, five hundred twenty".