40180120449408 has 576 divisors, whose sum is σ = 124548412903200. Its totient is φ = 12390384402432.

The previous prime is 40180120449407. The next prime is 40180120449437. The reversal of 40180120449408 is 80494402108104.

40180120449408 is a `hidden beast` number, since 4 + 0 + 1 + 80 + 120 + 4 + 49 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40180120449408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40180120449407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45815416266 + ... + 45815417142.

Almost surely, 2^{40180120449408} is an apocalyptic number.

40180120449408 is a gapful number since it is divisible by the number (48) 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 40180120449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62274206451600).

40180120449408 is an abundant number, since it is smaller than the sum of its proper divisors (84368292453792).

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

40180120449408 is a wasteful number, since it uses less digits than its factorization.

40180120449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 40180120449408 in words is "forty trillion, one hundred eighty billion, one hundred twenty million, four hundred forty-nine thousand, four hundred eight".