40868478560 has 384 divisors, whose sum is σ = 122675503104. Its totient is φ = 12521226240.

The previous prime is 40868478529. The next prime is 40868478593. The reversal of 40868478560 is 6587486804.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 40868478496 and 40868478505.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133121927 + ... + 133122233.

It is an arithmetic number, because the mean of its divisors is an integer number (319467456).

Almost surely, 2^40868478560 is an apocalyptic number.

40868478560 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 40868478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337751552).

40868478560 is an abundant number, since it is smaller than the sum of its proper divisors (81807024544).

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

40868478560 is a wasteful number, since it uses less digits than its factorization.

40868478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 40868478560 in words is "forty billion, eight hundred sixty-eight million, four hundred seventy-eight thousand, five hundred sixty".