40405706249376 has 384 divisors, whose sum is σ = 119150538312960. Its totient is φ = 11907092938752.

The previous prime is 40405706249317. The next prime is 40405706249383. The reversal of 40405706249376 is 67394260750404.

40405706249376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40405706249376² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4977907270 + ... + 4977915386.

It is an arithmetic number, because the mean of its divisors is an integer number (310287860190).

Almost surely, 2^{40405706249376} 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 40405706249376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59575269156480).

40405706249376 is an abundant number, since it is smaller than the sum of its proper divisors (78744832063584).

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

40405706249376 is a wasteful number, since it uses less digits than its factorization.

40405706249376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 40405706249376 in words is "forty trillion, four hundred five billion, seven hundred six million, two hundred forty-nine thousand, three hundred seventy-six".