40767548640000 has 1440 divisors, whose sum is σ = 168208236134400. Its totient is φ = 8532615168000.

The previous prime is 40767548639999. The next prime is 40767548640043. The reversal of 40767548640000 is 4684576704.

It is a super-2 number, since 2×40767548640000² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 5547356326 + ... + 5547363674.

Almost surely, 2^{40767548640000} is an apocalyptic number.

40767548640000 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 40767548640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84104118067200).

40767548640000 is an abundant number, since it is smaller than the sum of its proper divisors (127440687494400).

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

40767548640000 is a wasteful number, since it uses less digits than its factorization.

40767548640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 40767548640000 in words is "forty trillion, seven hundred sixty-seven billion, five hundred forty-eight million, six hundred forty thousand".