40606046640 has 240 divisors, whose sum is σ = 140500927008. Its totient is φ = 10502037504.

The previous prime is 40606046629. The next prime is 40606046653. The reversal of 40606046640 is 4664060604.

It is a happy number.

40606046640 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 6 + 0 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40606046595 and 40606046604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8975419 + ... + 8979941.

Almost surely, 2^40606046640 is an apocalyptic number.

40606046640 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 40606046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70250463504).

40606046640 is an abundant number, since it is smaller than the sum of its proper divisors (99894880368).

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

40606046640 is a wasteful number, since it uses less digits than its factorization.

40606046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40606046640 in words is "forty billion, six hundred six million, forty-six thousand, six hundred forty".