40649330161440 has 6912 divisors, whose sum is σ = 212878925715456. Its totient is φ = 7173527961600.

The previous prime is 40649330161403. The next prime is 40649330161523. The reversal of 40649330161440 is 4416103394604.

40649330161440 is a `hidden beast` number, since 4 + 0 + 6 + 49 + 3 + 3 + 0 + 161 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 310300230175 + ... + 310300230305.

It is an arithmetic number, because the mean of its divisors is an integer number (30798455688).

Almost surely, 2^{40649330161440} is an apocalyptic number.

40649330161440 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 40649330161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106439462857728).

40649330161440 is an abundant number, since it is smaller than the sum of its proper divisors (172229595554016).

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

40649330161440 is a wasteful number, since it uses less digits than its factorization.

40649330161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40649330161440 in words is "forty trillion, six hundred forty-nine billion, three hundred thirty million, one hundred sixty-one thousand, four hundred forty".