40767381504 has 336 divisors, whose sum is σ = 127276250400. Its totient is φ = 12534939648.

The previous prime is 40767381467. The next prime is 40767381511. The reversal of 40767381504 is 40518376704.

40767381504 is a `hidden beast` number, since 4 + 0 + 7 + 67 + 3 + 81 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40767381504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49176162 + ... + 49176990.

Almost surely, 2^40767381504 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 40767381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638125200).

40767381504 is an abundant number, since it is smaller than the sum of its proper divisors (86508868896).

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

40767381504 is a wasteful number, since it uses less digits than its factorization.

40767381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40767381504 in words is "forty billion, seven hundred sixty-seven million, three hundred eighty-one thousand, five hundred four".