40784173056 has 384 divisors, whose sum is σ = 138771360000. Its totient is φ = 11705057280.

The previous prime is 40784173049. The next prime is 40784173081. The reversal of 40784173056 is 65037148704.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11555100 + ... + 11558628.

It is an arithmetic number, because the mean of its divisors is an integer number (361383750).

Almost surely, 2^40784173056 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 40784173056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69385680000).

40784173056 is an abundant number, since it is smaller than the sum of its proper divisors (97987186944).

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

40784173056 is a wasteful number, since it uses less digits than its factorization.

40784173056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3564 counting only the distinct ones).

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

The spelling of 40784173056 in words is "forty billion, seven hundred eighty-four million, one hundred seventy-three thousand, fifty-six".