40965656800 has 144 divisors (see below), whose sum is σ = 108668044800. Its totient is φ = 15022886400.

The previous prime is 40965656791. The next prime is 40965656867. The reversal of 40965656800 is 865656904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427731 + ... + 514669.

It is an arithmetic number, because the mean of its divisors is an integer number (754639200).

Almost surely, 2^40965656800 is an apocalyptic number.

40965656800 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 40965656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54334022400).

40965656800 is an abundant number, since it is smaller than the sum of its proper divisors (67702388000).

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

40965656800 is a wasteful number, since it uses less digits than its factorization.

40965656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87009 (or 86996 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 40965656800 in words is "forty billion, nine hundred sixty-five million, six hundred fifty-six thousand, eight hundred".