40605600047616 has 240 divisors, whose sum is σ = 117572565052800. Its totient is φ = 13491110559744.

The previous prime is 40605600047567. The next prime is 40605600047629. The reversal of 40605600047616 is 61674000650604.

40605600047616 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 560 + 0 + 0 + 4 + 76 + 16 = 666.

It is a super-3 number, since 3×40605600047616³ (a number of 42 digits) contains 333 as substring.

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, 4593908925 + ... + 4593917763.

It is an arithmetic number, because the mean of its divisors is an integer number (489885687720).

Almost surely, 2^{40605600047616} 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 40605600047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786282526400).

40605600047616 is an abundant number, since it is smaller than the sum of its proper divisors (76966965005184).

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

40605600047616 is a wasteful number, since it uses less digits than its factorization.

40605600047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11999 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40605600047616 in words is "forty trillion, six hundred five billion, six hundred million, forty-seven thousand, six hundred sixteen".