40182951444480 has 456 divisors, whose sum is σ = 150016638447312. Its totient is φ = 9891150299136.

The previous prime is 40182951444469. The next prime is 40182951444497. The reversal of 40182951444480 is 8444415928104.

It is a happy number.

40182951444480 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 2 + 9 + 514 + 4 + 44 + 80 = 666.

It is a super-2 number, since 2×40182951444480² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 153223227 + ... + 153485253.

Almost surely, 2^{40182951444480} is an apocalyptic number.

40182951444480 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 40182951444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75008319223656).

40182951444480 is an abundant number, since it is smaller than the sum of its proper divisors (109833687002832).

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

40182951444480 is an equidigital number, since it uses as much as digits as its factorization.

40182951444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262087 (or 262050 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 40182951444480 in words is "forty trillion, one hundred eighty-two billion, nine hundred fifty-one million, four hundred forty-four thousand, four hundred eighty".