40340643840 has 784 divisors, whose sum is σ = 166746436128. Its totient is φ = 9172942848.

The previous prime is 40340643817. The next prime is 40340643857. The reversal of 40340643840 is 4834604304.

40340643840 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 0 + 643 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40340643795 and 40340643804.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 209018784 + ... + 209018976.

Almost surely, 2^40340643840 is an apocalyptic number.

40340643840 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 40340643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83373218064).

40340643840 is an abundant number, since it is smaller than the sum of its proper divisors (126405792288).

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

40340643840 is an frugal number, since it uses more digits than its factorization.

40340643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40340643840 in words is "forty billion, three hundred forty million, six hundred forty-three thousand, eight hundred forty".