40723784064 has 192 divisors, whose sum is σ = 127610262000. Its totient is φ = 12416495616.

The previous prime is 40723784047. The next prime is 40723784071. The reversal of 40723784064 is 46048732704.

40723784064 is a `hidden beast` number, since 4 + 0 + 7 + 237 + 8 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 602674 + ... + 666830.

Almost surely, 2^40723784064 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 40723784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63805131000).

40723784064 is an abundant number, since it is smaller than the sum of its proper divisors (86886477936).

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

40723784064 is a wasteful number, since it uses less digits than its factorization.

40723784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64225 (or 64210 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40723784064 in words is "forty billion, seven hundred twenty-three million, seven hundred eighty-four thousand, sixty-four".