40686466860 has 864 divisors, whose sum is σ = 154985830272. Its totient is φ = 8868372480.

The previous prime is 40686466831. The next prime is 40686466879. The reversal of 40686466860 is 6866468604.

40686466860 is a `hidden beast` number, since 40 + 6 + 86 + 466 + 8 + 60 = 666.

40686466860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40686466797 and 40686466806.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 666991230 + ... + 666991290.

It is an arithmetic number, because the mean of its divisors is an integer number (179381748).

Almost surely, 2^40686466860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40686466860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77492915136).

40686466860 is an abundant number, since it is smaller than the sum of its proper divisors (114299363412).

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

40686466860 is a wasteful number, since it uses less digits than its factorization.

40686466860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 40686466860 in words is "forty billion, six hundred eighty-six million, four hundred sixty-six thousand, eight hundred sixty".