40358878560 has 2304 divisors, whose sum is σ = 206374791168. Its totient is φ = 7166361600.

The previous prime is 40358878559. The next prime is 40358878583. The reversal of 40358878560 is 6587885304.

40358878560 is a `hidden beast` number, since 4 + 0 + 3 + 5 + 8 + 8 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40358878497 and 40358878506.

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 383 ways as a sum of consecutive naturals, for example, 661620930 + ... + 661620990.

It is an arithmetic number, because the mean of its divisors is an integer number (89572392).

Almost surely, 2^40358878560 is an apocalyptic number.

40358878560 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 40358878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103187395584).

40358878560 is an abundant number, since it is smaller than the sum of its proper divisors (166015912608).

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

40358878560 is a wasteful number, since it uses less digits than its factorization.

40358878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

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

The spelling of 40358878560 in words is "forty billion, three hundred fifty-eight million, eight hundred seventy-eight thousand, five hundred sixty".