40217638540 has 48 divisors (see below), whose sum is σ = 88310541312. Its totient is φ = 15355935936.

The previous prime is 40217638529. The next prime is 40217638543. The reversal of 40217638540 is 4583671204.

It is a junction number, because it is equal to n+sod(n) for n = 40217638493 and 40217638502.

It is not an unprimeable number, because it can be changed into a prime (40217638543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134257 + ... + 313783.

It is an arithmetic number, because the mean of its divisors is an integer number (1839802944).

Almost surely, 2^40217638540 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 40217638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44155270656).

40217638540 is an abundant number, since it is smaller than the sum of its proper divisors (48092902772).

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

40217638540 is a wasteful number, since it uses less digits than its factorization.

40217638540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180046 (or 180044 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 40217638540 in words is "forty billion, two hundred seventeen million, six hundred thirty-eight thousand, five hundred forty".