40340684800 has 216 divisors, whose sum is σ = 107854018776. Its totient is φ = 14879293440.

The previous prime is 40340684773. The next prime is 40340684831. The reversal of 40340684800 is 848604304.

It is a self number, because there is not a number n which added to its sum of digits gives 40340684800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42597927 + ... + 42598873.

It is an arithmetic number, because the mean of its divisors is an integer number (499324161).

Almost surely, 2^40340684800 is an apocalyptic number.

40340684800 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 40340684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53927009388).

40340684800 is an abundant number, since it is smaller than the sum of its proper divisors (67513333976).

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

40340684800 is an frugal number, since it uses more digits than its factorization.

40340684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 40340684800 in words is "forty billion, three hundred forty million, six hundred eighty-four thousand, eight hundred".