40438448968320 has 768 divisors, whose sum is σ = 156743298391680. Its totient is φ = 9903453880320.

The previous prime is 40438448968271. The next prime is 40438448968331. The reversal of 40438448968320 is 2386984483404.

40438448968320 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 8 + 448 + 96 + 83 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398235955 + ... + 398337485.

Almost surely, 2^{40438448968320} is an apocalyptic number.

40438448968320 is a gapful number since it is divisible by the number (40) 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 40438448968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78371649195840).

40438448968320 is an abundant number, since it is smaller than the sum of its proper divisors (116304849423360).

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

40438448968320 is a wasteful number, since it uses less digits than its factorization.

40438448968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101775 (or 101751 counting only the distinct ones).

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

The spelling of 40438448968320 in words is "forty trillion, four hundred thirty-eight billion, four hundred forty-eight million, nine hundred sixty-eight thousand, three hundred twenty".