40468783344 has 320 divisors, whose sum is σ = 120952258560. Its totient is φ = 11547648000.

The previous prime is 40468783343. The next prime is 40468783351. The reversal of 40468783344 is 44338786404.

It is a super-2 number, since 2×40468783344² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468783343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112726237 + ... + 112726595.

It is an arithmetic number, because the mean of its divisors is an integer number (377975808).

Almost surely, 2^40468783344 is an apocalyptic number.

40468783344 is a gapful number since it is divisible by the number (44) 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 40468783344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60476129280).

40468783344 is an abundant number, since it is smaller than the sum of its proper divisors (80483475216).

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

40468783344 is a wasteful number, since it uses less digits than its factorization.

40468783344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 40468783344 in words is "forty billion, four hundred sixty-eight million, seven hundred eighty-three thousand, three hundred forty-four".