40194580000 has 240 divisors, whose sum is σ = 105115321080. Its totient is φ = 15095808000.

The previous prime is 40194579983. The next prime is 40194580007. The reversal of 40194580000 is 8549104.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 18582051856 + 21612528144 = 136316^2 + 147012^2 .

It is a super-2 number, since 2×40194580000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40194580007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21459064 + ... + 21460936.

Almost surely, 2^40194580000 is an apocalyptic number.

40194580000 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 40194580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52557660540).

40194580000 is an abundant number, since it is smaller than the sum of its proper divisors (64920741080).

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

40194580000 is a wasteful number, since it uses less digits than its factorization.

40194580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 40194580000 in words is "forty billion, one hundred ninety-four million, five hundred eighty thousand".