40767977064 has 64 divisors (see below), whose sum is σ = 104740151040. Its totient is φ = 13215421440.

The previous prime is 40767977051. The next prime is 40767977071. The reversal of 40767977064 is 46077976704.

It is a junction number, because it is equal to n+sod(n) for n = 40767976995 and 40767977013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241809 + ... + 374175.

It is an arithmetic number, because the mean of its divisors is an integer number (1636564860).

Almost surely, 2^40767977064 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 40767977064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52370075520).

40767977064 is an abundant number, since it is smaller than the sum of its proper divisors (63972173976).

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

40767977064 is a wasteful number, since it uses less digits than its factorization.

40767977064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132730 (or 132726 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 40767977064 in words is "forty billion, seven hundred sixty-seven million, nine hundred seventy-seven thousand, sixty-four".