40357968900 has 288 divisors, whose sum is σ = 127041868800. Its totient is φ = 9860928000.

The previous prime is 40357968899. The next prime is 40357968967. The reversal of 40357968900 is 986975304.

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, 27813175 + ... + 27814625.

It is an arithmetic number, because the mean of its divisors is an integer number (441117600).

Almost surely, 2^40357968900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40357968900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63520934400).

40357968900 is an abundant number, since it is smaller than the sum of its proper divisors (86683899900).

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

40357968900 is a wasteful number, since it uses less digits than its factorization.

40357968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 40357968900 in words is "forty billion, three hundred fifty-seven million, nine hundred sixty-eight thousand, nine hundred".