40449253824 has 1260 divisors, whose sum is σ = 161344279800. Its totient is φ = 9949298688.

The previous prime is 40449253777. The next prime is 40449253829. The reversal of 40449253824 is 42835294404.

40449253824 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 92 + 538 + 24 = 666.

It is a super-2 number, since 2×40449253824² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40449253824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40449253829) by changing a digit.

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, 1394801842 + ... + 1394801870.

Almost surely, 2^40449253824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40449253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80672139900).

40449253824 is an abundant number, since it is smaller than the sum of its proper divisors (120895025976).

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

40449253824 is a wasteful number, since it uses less digits than its factorization.

40449253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 40449253824 in words is "forty billion, four hundred forty-nine million, two hundred fifty-three thousand, eight hundred twenty-four".