40343413440 has 336 divisors, whose sum is σ = 143471883744. Its totient is φ = 9594224640.

The previous prime is 40343413403. The next prime is 40343413457. The reversal of 40343413440 is 4431434304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40343413398 and 40343413407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6153204 + ... + 6159756.

It is an arithmetic number, because the mean of its divisors is an integer number (426999654).

Almost surely, 2^40343413440 is an apocalyptic number.

40343413440 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 40343413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71735941872).

40343413440 is an abundant number, since it is smaller than the sum of its proper divisors (103128470304).

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

40343413440 is a wasteful number, since it uses less digits than its factorization.

40343413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 40343413440 its reverse (4431434304), we get a palindrome (44774847744).

The spelling of 40343413440 in words is "forty billion, three hundred forty-three million, four hundred thirteen thousand, four hundred forty".