40587388650 has 288 divisors, whose sum is σ = 124837277760. Its totient is φ = 9388431360.

The previous prime is 40587388649. The next prime is 40587388657. The reversal of 40587388650 is 5688378504.

40587388650 is a `hidden beast` number, since 4 + 0 + 587 + 3 + 8 + 8 + 6 + 50 = 666.

It is a super-2 number, since 2×40587388650² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40587388657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5374177 + ... + 5381723.

It is an arithmetic number, because the mean of its divisors is an integer number (433462770).

Almost surely, 2^40587388650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40587388650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62418638880).

40587388650 is an abundant number, since it is smaller than the sum of its proper divisors (84249889110).

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

40587388650 is a wasteful number, since it uses less digits than its factorization.

40587388650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 40587388650 in words is "forty billion, five hundred eighty-seven million, three hundred eighty-eight thousand, six hundred fifty".