40316283360 has 576 divisors, whose sum is σ = 153937506240. Its totient is φ = 9820569600.

The previous prime is 40316283289. The next prime is 40316283389. The reversal of 40316283360 is 6338261304.

40316283360 is a `hidden beast` number, since 4 + 0 + 3 + 16 + 283 + 360 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100539160 + ... + 100539560.

It is an arithmetic number, because the mean of its divisors is an integer number (267252615).

Almost surely, 2^40316283360 is an apocalyptic number.

40316283360 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 40316283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76968753120).

40316283360 is an abundant number, since it is smaller than the sum of its proper divisors (113621222880).

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

40316283360 is a wasteful number, since it uses less digits than its factorization.

40316283360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40316283360 in words is "forty billion, three hundred sixteen million, two hundred eighty-three thousand, three hundred sixty".