40969208448 has 384 divisors, whose sum is σ = 140707482240. Its totient is φ = 11197440000.

The previous prime is 40969208437. The next prime is 40969208453. The reversal of 40969208448 is 84480296904.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40969208394 and 40969208403.

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 47 ways as a sum of consecutive naturals, for example, 18199323 + ... + 18201573.

It is an arithmetic number, because the mean of its divisors is an integer number (366425735).

Almost surely, 2^40969208448 is an apocalyptic number.

40969208448 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 40969208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70353741120).

40969208448 is an abundant number, since it is smaller than the sum of its proper divisors (99738273792).

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

40969208448 is a wasteful number, since it uses less digits than its factorization.

40969208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 40969208448 in words is "forty billion, nine hundred sixty-nine million, two hundred eight thousand, four hundred forty-eight".