40090956800 has 132 divisors (see below), whose sum is σ = 101010091116. Its totient is φ = 15772876800.

The previous prime is 40090956781. The next prime is 40090956803. The reversal of 40090956800 is 865909004.

It can be written as a sum of positive squares in 6 ways, for example, as 2498400256 + 37592556544 = 49984^2 + 193888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40090956803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1548764 + ... + 1574436.

It is an arithmetic number, because the mean of its divisors is an integer number (765227963).

Almost surely, 2^40090956800 is an apocalyptic number.

40090956800 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 40090956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50505045558).

40090956800 is an abundant number, since it is smaller than the sum of its proper divisors (60919134316).

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

40090956800 is a wasteful number, since it uses less digits than its factorization.

40090956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25741 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 40090956800 in words is "forty billion, ninety million, nine hundred fifty-six thousand, eight hundred".