40682409408 has 280 divisors, whose sum is σ = 124162163664. Its totient is φ = 13163212800.

The previous prime is 40682409401. The next prime is 40682409473. The reversal of 40682409408 is 80490428604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40682409401) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 58874343 + ... + 58875033.

Almost surely, 2^40682409408 is an apocalyptic number.

40682409408 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 40682409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62081081832).

40682409408 is an abundant number, since it is smaller than the sum of its proper divisors (83479754256).

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

40682409408 is a wasteful number, since it uses less digits than its factorization.

40682409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40682409408 in words is "forty billion, six hundred eighty-two million, four hundred nine thousand, four hundred eight".