40648192000 has 416 divisors, whose sum is σ = 113345616384. Its totient is φ = 14450688000.

The previous prime is 40648191979. The next prime is 40648192019. The reversal of 40648192000 is 29184604.

It is a tau number, because it is divible by the number of its divisors (416).

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 31 ways as a sum of consecutive naturals, for example, 206335902 + ... + 206336098.

It is an arithmetic number, because the mean of its divisors is an integer number (272465424).

Almost surely, 2^40648192000 is an apocalyptic number.

40648192000 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 40648192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56672808192).

40648192000 is an abundant number, since it is smaller than the sum of its proper divisors (72697424384).

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

40648192000 is a wasteful number, since it uses less digits than its factorization.

40648192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 40648192000 in words is "forty billion, six hundred forty-eight million, one hundred ninety-two thousand".