40547104416 has 288 divisors, whose sum is σ = 147173539968. Its totient is φ = 10693555200.

The previous prime is 40547104397. The next prime is 40547104457. The reversal of 40547104416 is 61440174504.

It is a happy number.

40547104416 is a `hidden beast` number, since 4 + 0 + 547 + 104 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678966 + ... + 736266.

It is an arithmetic number, because the mean of its divisors is an integer number (511019236).

Almost surely, 2^40547104416 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 40547104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73586769984).

40547104416 is an abundant number, since it is smaller than the sum of its proper divisors (106626435552).

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

40547104416 is a wasteful number, since it uses less digits than its factorization.

40547104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57346 (or 57326 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40547104416 in words is "forty billion, five hundred forty-seven million, one hundred four thousand, four hundred sixteen".