40968169800 has 192 divisors, whose sum is σ = 128241792000. Its totient is φ = 10818720000.

The previous prime is 40968169799. The next prime is 40968169817. The reversal of 40968169800 is 896186904.

It is a happy number.

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, 29968717 + ... + 29970083.

It is an arithmetic number, because the mean of its divisors is an integer number (667926000).

Almost surely, 2^40968169800 is an apocalyptic number.

40968169800 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 40968169800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120896000).

40968169800 is an abundant number, since it is smaller than the sum of its proper divisors (87273622200).

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

40968169800 is a wasteful number, since it uses less digits than its factorization.

40968169800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 40968169800 in words is "forty billion, nine hundred sixty-eight million, one hundred sixty-nine thousand, eight hundred".