40106595648 has 168 divisors, whose sum is σ = 123759797184. Its totient is φ = 11429376000.

The previous prime is 40106595643. The next prime is 40106595649. The reversal of 40106595648 is 84659560104.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40106595597 and 40106595606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106595643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3767293 + ... + 3777923.

Almost surely, 2^40106595648 is an apocalyptic number.

40106595648 is a gapful number since it is divisible by the number (48) 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 40106595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61879898592).

40106595648 is an abundant number, since it is smaller than the sum of its proper divisors (83653201536).

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

40106595648 is a wasteful number, since it uses less digits than its factorization.

40106595648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 40106595648 in words is "forty billion, one hundred six million, five hundred ninety-five thousand, six hundred forty-eight".