40605935511552 has 1152 divisors, whose sum is σ = 129358054425600. Its totient is φ = 11266185756672.

The previous prime is 40605935511551. The next prime is 40605935511613. The reversal of 40605935511552 is 25511553950604.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 40605935511495 and 40605935511504.

It is not an unprimeable number, because it can be changed into a prime (40605935511551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33365599648 + ... + 33365600864.

It is an arithmetic number, because the mean of its divisors is an integer number (112289977800).

Almost surely, 2^{40605935511552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40605935511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64679027212800).

40605935511552 is an abundant number, since it is smaller than the sum of its proper divisors (88752118914048).

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

40605935511552 is a wasteful number, since it uses less digits than its factorization.

40605935511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 40605935511552 in words is "forty trillion, six hundred five billion, nine hundred thirty-five million, five hundred eleven thousand, five hundred fifty-two".