40181409987444 has 576 divisors, whose sum is σ = 120062999347200. Its totient is φ = 11210892134400.

The previous prime is 40181409987421. The next prime is 40181409987493. The reversal of 40181409987444 is 44478990418104.

40181409987444 is a `hidden beast` number, since 4 + 0 + 18 + 14 + 0 + 99 + 87 + 444 = 666.

It is a super-2 number, since 2×40181409987444² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6779381209 + ... + 6779387135.

It is an arithmetic number, because the mean of its divisors is an integer number (208442707200).

Almost surely, 2^{40181409987444} is an apocalyptic number.

40181409987444 is a gapful number since it is divisible by the number (44) 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 40181409987444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60031499673600).

40181409987444 is an abundant number, since it is smaller than the sum of its proper divisors (79881589359756).

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

40181409987444 is a wasteful number, since it uses less digits than its factorization.

40181409987444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 40181409987444 in words is "forty trillion, one hundred eighty-one billion, four hundred nine million, nine hundred eighty-seven thousand, four hundred forty-four".