40390706160 has 640 divisors, whose sum is σ = 170274816000. Its totient is φ = 8594408448.

The previous prime is 40390706143. The next prime is 40390706171. The reversal of 40390706160 is 6160709304.

40390706160 is a `hidden beast` number, since 4 + 0 + 39 + 0 + 7 + 0 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16948329 + ... + 16950711.

It is an arithmetic number, because the mean of its divisors is an integer number (266054400).

Almost surely, 2^40390706160 is an apocalyptic number.

40390706160 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 40390706160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85137408000).

40390706160 is an abundant number, since it is smaller than the sum of its proper divisors (129884109840).

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

40390706160 is a wasteful number, since it uses less digits than its factorization.

40390706160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 40390706160 in words is "forty billion, three hundred ninety million, seven hundred six thousand, one hundred sixty".