40683646080000 has 3960 divisors, whose sum is σ = 191059043535360. Its totient is φ = 8150630400000.

The previous prime is 40683646079983. The next prime is 40683646080071. The reversal of 40683646080000 is 8064638604.

40683646080000 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 36 + 4 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 151240319866 + ... + 151240320134.

It is an arithmetic number, because the mean of its divisors is an integer number (48247233216).

Almost surely, 2^{40683646080000} is an apocalyptic number.

40683646080000 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 40683646080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95529521767680).

40683646080000 is an abundant number, since it is smaller than the sum of its proper divisors (150375397455360).

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

40683646080000 is a wasteful number, since it uses less digits than its factorization.

40683646080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40683646080000 in words is "forty trillion, six hundred eighty-three billion, six hundred forty-six million, eighty thousand".