40260860640 has 2304 divisors, whose sum is σ = 205423755264. Its totient is φ = 6900940800.

The previous prime is 40260860639. The next prime is 40260860659. The reversal of 40260860640 is 4606806204.

It is a happy number.

40260860640 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 0 + 8 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 40260860595 and 40260860604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 759638854 + ... + 759638906.

It is an arithmetic number, because the mean of its divisors is an integer number (89159616).

Almost surely, 2^40260860640 is an apocalyptic number.

40260860640 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 40260860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102711877632).

40260860640 is an abundant number, since it is smaller than the sum of its proper divisors (165162894624).

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

40260860640 is a wasteful number, since it uses less digits than its factorization.

40260860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

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

The spelling of 40260860640 in words is "forty billion, two hundred sixty million, eight hundred sixty thousand, six hundred forty".