40393778880 has 896 divisors, whose sum is σ = 170332968960. Its totient is φ = 7868252160.

The previous prime is 40393778839. The next prime is 40393778891. The reversal of 40393778880 is 8887739304.

It is a self number, because there is not a number n which added to its sum of digits gives 40393778880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87621850 + ... + 87622310.

It is an arithmetic number, because the mean of its divisors is an integer number (190103760).

Almost surely, 2^40393778880 is an apocalyptic number.

40393778880 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 40393778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85166484480).

40393778880 is an abundant number, since it is smaller than the sum of its proper divisors (129939190080).

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

40393778880 is a wasteful number, since it uses less digits than its factorization.

40393778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 40393778880 in words is "forty billion, three hundred ninety-three million, seven hundred seventy-eight thousand, eight hundred eighty".