40111540704 has 288 divisors, whose sum is σ = 122620417920. Its totient is φ = 12413592576.

The previous prime is 40111540687. The next prime is 40111540709. The reversal of 40111540704 is 40704511104.

40111540704 is a `hidden beast` number, since 4 + 0 + 111 + 540 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40111540709) by changing a digit.

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, 24061279 + ... + 24062945.

It is an arithmetic number, because the mean of its divisors is an integer number (425765340).

Almost surely, 2^40111540704 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 40111540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61310208960).

40111540704 is an abundant number, since it is smaller than the sum of its proper divisors (82508877216).

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

40111540704 is a wasteful number, since it uses less digits than its factorization.

40111540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 40111540704 in words is "forty billion, one hundred eleven million, five hundred forty thousand, seven hundred four".