40587260805 has 144 divisors (see below), whose sum is σ = 89252916480. Its totient is φ = 16909191936.

The previous prime is 40587260797. The next prime is 40587260807. The reversal of 40587260805 is 50806278504.

40587260805 is a `hidden beast` number, since 4 + 0 + 587 + 2 + 60 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 40587260805 - 2³ = 40587260797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40587260807) 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 143 ways as a sum of consecutive naturals, for example, 2255574 + ... + 2273496.

It is an arithmetic number, because the mean of its divisors is an integer number (619811920).

Almost surely, 2^40587260805 is an apocalyptic number.

40587260805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40587260805 is an abundant number, since it is smaller than the sum of its proper divisors (48665655675).

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

40587260805 is a wasteful number, since it uses less digits than its factorization.

40587260805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40587260805 in words is "forty billion, five hundred eighty-seven million, two hundred sixty thousand, eight hundred five".