40310513768448 has 2016 divisors, whose sum is σ = 153612375920640. Its totient is φ = 10346434560000.

The previous prime is 40310513768429. The next prime is 40310513768461. The reversal of 40310513768448 is 84486731501304.

40310513768448 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 0 + 5 + 137 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40310513768394 and 40310513768403.

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 160599656323 + ... + 160599656573.

It is an arithmetic number, because the mean of its divisors is an integer number (76196615040).

Almost surely, 2^{40310513768448} is an apocalyptic number.

40310513768448 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 40310513768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76806187960320).

40310513768448 is an abundant number, since it is smaller than the sum of its proper divisors (113301862152192).

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

40310513768448 is a wasteful number, since it uses less digits than its factorization.

40310513768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40310513768448 in words is "forty trillion, three hundred ten billion, five hundred thirteen million, seven hundred sixty-eight thousand, four hundred forty-eight".