40042624617 has 32 divisors (see below), whose sum is σ = 61930229760. Its totient is φ = 25522635600.

The previous prime is 40042624591. The next prime is 40042624673. The reversal of 40042624617 is 71642624004.

40042624617 is a `hidden beast` number, since 400 + 4 + 2 + 6 + 246 + 1 + 7 = 666.

It is not a de Polignac number, because 40042624617 - 2¹⁴ = 40042608233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40042624717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446258 + ... + 1473684.

It is an arithmetic number, because the mean of its divisors is an integer number (1935319680).

Almost surely, 2^40042624617 is an apocalyptic number.

It is an amenable number.

40042624617 is a deficient number, since it is larger than the sum of its proper divisors (21887605143).

40042624617 is a wasteful number, since it uses less digits than its factorization.

40042624617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810 (or 29804 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40042624617 in words is "forty billion, forty-two million, six hundred twenty-four thousand, six hundred seventeen".