40208636160 has 432 divisors, whose sum is σ = 173449261440. Its totient is φ = 8354856960.

The previous prime is 40208636137. The next prime is 40208636173. The reversal of 40208636160 is 6163680204.

40208636160 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 8 + 636 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864376 + ... + 909704.

It is an arithmetic number, because the mean of its divisors is an integer number (401502920).

Almost surely, 2^40208636160 is an apocalyptic number.

40208636160 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 40208636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86724630720).

40208636160 is an abundant number, since it is smaller than the sum of its proper divisors (133240625280).

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

40208636160 is a wasteful number, since it uses less digits than its factorization.

40208636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45374 (or 45357 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40208636160 in words is "forty billion, two hundred eight million, six hundred thirty-six thousand, one hundred sixty".