40380849632448 has 1344 divisors, whose sum is σ = 140240811110400. Its totient is φ = 11413998489600.

The previous prime is 40380849632437. The next prime is 40380849632471. The reversal of 40380849632448 is 84423694808304.

40380849632448 is a `hidden beast` number, since 4 + 0 + 3 + 80 + 8 + 496 + 3 + 24 + 48 = 666.

It is a super-2 number, since 2×40380849632448² (a number of 28 digits) contains 22 as substring.

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, 24941845783 + ... + 24941847401.

It is an arithmetic number, because the mean of its divisors is an integer number (104345841600).

Almost surely, 2^{40380849632448} is an apocalyptic number.

40380849632448 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 40380849632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120405555200).

40380849632448 is an abundant number, since it is smaller than the sum of its proper divisors (99859961477952).

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

40380849632448 is a wasteful number, since it uses less digits than its factorization.

40380849632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 40380849632448 in words is "forty trillion, three hundred eighty billion, eight hundred forty-nine million, six hundred thirty-two thousand, four hundred forty-eight".