40603634726560 has 96 divisors (see below), whose sum is σ = 96782365188432. Its totient is φ = 16096497500160.

The previous prime is 40603634726471. The next prime is 40603634726561. The reversal of 40603634726560 is 6562743630604.

40603634726560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7335148889104 + 33268485837456 = 2708348^2 + 5767884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40603634726498 and 40603634726507.

It is not an unprimeable number, because it can be changed into a prime (40603634726561) 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 15 ways as a sum of consecutive naturals, for example, 258845272 + ... + 259002088.

Almost surely, 2^{40603634726560} is an apocalyptic number.

40603634726560 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 40603634726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48391182594216).

40603634726560 is an abundant number, since it is smaller than the sum of its proper divisors (56178730461872).

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

40603634726560 is a wasteful number, since it uses less digits than its factorization.

40603634726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171266 (or 171258 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 40603634726560 in words is "forty trillion, six hundred three billion, six hundred thirty-four million, seven hundred twenty-six thousand, five hundred sixty".