40005548640 has 288 divisors, whose sum is σ = 143591325696. Its totient is φ = 10122900480.

The previous prime is 40005548621. The next prime is 40005548677. The reversal of 40005548640 is 4684550004.

40005548640 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 5 + 5 + 4 + 8 + 640 = 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 a junction number, because it is equal to n+sod(n) for n = 40005548595 and 40005548604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201485 + ... + 4210995.

It is an arithmetic number, because the mean of its divisors is an integer number (498580992).

Almost surely, 2^40005548640 is an apocalyptic number.

40005548640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40005548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71795662848).

40005548640 is an abundant number, since it is smaller than the sum of its proper divisors (103585777056).

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

40005548640 is a wasteful number, since it uses less digits than its factorization.

40005548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40005548640 in words is "forty billion, five million, five hundred forty-eight thousand, six hundred forty".