40706844917760 has 2240 divisors, whose sum is σ = 178240301712000. Its totient is φ = 8708180410368.

The previous prime is 40706844917737. The next prime is 40706844917771. The reversal of 40706844917760 is 6771944860704.

40706844917760 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 6 + 84 + 491 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 227412541351 + ... + 227412541529.

Almost surely, 2^{40706844917760} is an apocalyptic number.

40706844917760 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 40706844917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89120150856000).

40706844917760 is an abundant number, since it is smaller than the sum of its proper divisors (137533456794240).

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

40706844917760 is an frugal number, since it uses more digits than its factorization.

40706844917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 40706844917760 in words is "forty trillion, seven hundred six billion, eight hundred forty-four million, nine hundred seventeen thousand, seven hundred sixty".