40716456744 has 64 divisors (see below), whose sum is σ = 106333747200. Its totient is φ = 12967770816.

The previous prime is 40716456689. The next prime is 40716456761. The reversal of 40716456744 is 44765461704.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40716456693 and 40716456702.

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 15 ways as a sum of consecutive naturals, for example, 467157 + ... + 547419.

It is an arithmetic number, because the mean of its divisors is an integer number (1661464800).

Almost surely, 2^40716456744 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 40716456744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53166873600).

40716456744 is an abundant number, since it is smaller than the sum of its proper divisors (65617290456).

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

40716456744 is a wasteful number, since it uses less digits than its factorization.

40716456744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81214 (or 81210 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 40716456744 in words is "forty billion, seven hundred sixteen million, four hundred fifty-six thousand, seven hundred forty-four".