40621286160 has 900 divisors, whose sum is σ = 177948145188. Its totient is φ = 8559323136.

The previous prime is 40621286137. The next prime is 40621286177. The reversal of 40621286160 is 6168212604.

40621286160 is a `hidden beast` number, since 4 + 0 + 621 + 28 + 6 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6221423376 + 34399862784 = 78876^2 + 185472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 53660502 + ... + 53661258.

Almost surely, 2^40621286160 is an apocalyptic number.

40621286160 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 40621286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88974072594).

40621286160 is an abundant number, since it is smaller than the sum of its proper divisors (137326859028).

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

40621286160 is a wasteful number, since it uses less digits than its factorization.

40621286160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 40621286160 its reverse (6168212604), we get a palindrome (46789498764).

The spelling of 40621286160 in words is "forty billion, six hundred twenty-one million, two hundred eighty-six thousand, one hundred sixty".