40785706166400 has 1152 divisors, whose sum is σ = 160129113580800. Its totient is φ = 9823949291520.

The previous prime is 40785706166389. The next prime is 40785706166411. The reversal of 40785706166400 is 466160758704.

40785706166400 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 5 + 70 + 6 + 166 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (40785706166389) and next prime (40785706166411).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3342262699 + ... + 3342274901.

It is an arithmetic number, because the mean of its divisors is an integer number (139000966650).

Almost surely, 2^{40785706166400} is an apocalyptic number.

40785706166400 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 40785706166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80064556790400).

40785706166400 is an abundant number, since it is smaller than the sum of its proper divisors (119343407414400).

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

40785706166400 is a wasteful number, since it uses less digits than its factorization.

40785706166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40785706166400 in words is "forty trillion, seven hundred eighty-five billion, seven hundred six million, one hundred sixty-six thousand, four hundred".