40767984936 has 320 divisors, whose sum is σ = 138311712000. Its totient is φ = 10970588160.

The previous prime is 40767984911. The next prime is 40767984949. The reversal of 40767984936 is 63948976704.

40767984936 is a `hidden beast` number, since 4 + 0 + 76 + 79 + 8 + 493 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5389525 + ... + 5397083.

It is an arithmetic number, because the mean of its divisors is an integer number (432224100).

Almost surely, 2^40767984936 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 40767984936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155856000).

40767984936 is an abundant number, since it is smaller than the sum of its proper divisors (97543727064).

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

40767984936 is a wasteful number, since it uses less digits than its factorization.

40767984936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 40767984936 in words is "forty billion, seven hundred sixty-seven million, nine hundred eighty-four thousand, nine hundred thirty-six".