40366162287360 has 1440 divisors, whose sum is σ = 178350243308160. Its totient is φ = 8488985296896.

The previous prime is 40366162287349. The next prime is 40366162287379. The reversal of 40366162287360 is 6378226166304.

40366162287360 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 6 + 1 + 622 + 8 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 40366162287297 and 40366162287306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2953110606 + ... + 2953124274.

Almost surely, 2^{40366162287360} is an apocalyptic number.

40366162287360 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 40366162287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89175121654080).

40366162287360 is an abundant number, since it is smaller than the sum of its proper divisors (137984081020800).

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

40366162287360 is a wasteful number, since it uses less digits than its factorization.

40366162287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035 (or 14012 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 40366162287360 in words is "forty trillion, three hundred sixty-six billion, one hundred sixty-two million, two hundred eighty-seven thousand, three hundred sixty".