40286009180160 has 1920 divisors, whose sum is σ = 156637374566400. Its totient is φ = 9789568450560.

The previous prime is 40286009180117. The next prime is 40286009180231. The reversal of 40286009180160 is 6108190068204.

40286009180160 is a `hidden beast` number, since 4 + 0 + 28 + 600 + 9 + 1 + 8 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177471405967 + ... + 177471406193.

It is an arithmetic number, because the mean of its divisors is an integer number (81581965920).

Almost surely, 2^{40286009180160} is an apocalyptic number.

40286009180160 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 40286009180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78318687283200).

40286009180160 is an abundant number, since it is smaller than the sum of its proper divisors (116351365386240).

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

40286009180160 is a wasteful number, since it uses less digits than its factorization.

40286009180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 40286009180160 in words is "forty trillion, two hundred eighty-six billion, nine million, one hundred eighty thousand, one hundred sixty".