40318266240 has 768 divisors, whose sum is σ = 175940942400. Its totient is φ = 8670412800.

The previous prime is 40318266221. The next prime is 40318266253. The reversal of 40318266240 is 4266281304.

40318266240 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 8 + 26 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 40318266195 and 40318266204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14392840 + ... + 14395640.

Almost surely, 2^40318266240 is an apocalyptic number.

40318266240 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 40318266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87970471200).

40318266240 is an abundant number, since it is smaller than the sum of its proper divisors (135622676160).

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

40318266240 is a wasteful number, since it uses less digits than its factorization.

40318266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40318266240 in words is "forty billion, three hundred eighteen million, two hundred sixty-six thousand, two hundred forty".