40666785505920 has 960 divisors, whose sum is σ = 174765004504200. Its totient is φ = 8974722613248.

The previous prime is 40666785505889. The next prime is 40666785505943. The reversal of 40666785505920 is 2950558766604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40513428680256 + 153356825664 = 6365016^2 + 391608^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73388614 + ... + 73940666.

Almost surely, 2^{40666785505920} is an apocalyptic number.

40666785505920 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 40666785505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87382502252100).

40666785505920 is an abundant number, since it is smaller than the sum of its proper divisors (134098218998280).

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

40666785505920 is a wasteful number, since it uses less digits than its factorization.

40666785505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552127 (or 552099 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 40666785505920 in words is "forty trillion, six hundred sixty-six billion, seven hundred eighty-five million, five hundred five thousand, nine hundred twenty".