40782719628 has 144 divisors (see below), whose sum is σ = 120341422656. Its totient is φ = 11403624960.

The previous prime is 40782719617. The next prime is 40782719707. The reversal of 40782719628 is 82691728704.

It is a happy number.

40782719628 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 2 + 7 + 1 + 9 + 628 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619250 + ... + 5626502.

It is an arithmetic number, because the mean of its divisors is an integer number (835704324).

Almost surely, 2^40782719628 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 40782719628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60170711328).

40782719628 is an abundant number, since it is smaller than the sum of its proper divisors (79558703028).

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

40782719628 is a wasteful number, since it uses less digits than its factorization.

40782719628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 40782719628 in words is "forty billion, seven hundred eighty-two million, seven hundred nineteen thousand, six hundred twenty-eight".