40205025280 has 240 divisors, whose sum is σ = 112604372100. Its totient is φ = 13740539904.

The previous prime is 40205025277. The next prime is 40205025281. The reversal of 40205025280 is 8252050204.

It can be written as a sum of positive squares in 2 ways, for example, as 33409990656 + 6795034624 = 182784^2 + 82432^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40205025281) 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, 128450404 + ... + 128450716.

Almost surely, 2^40205025280 is an apocalyptic number.

40205025280 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 40205025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56302186050).

40205025280 is an abundant number, since it is smaller than the sum of its proper divisors (72399346820).

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

40205025280 is an frugal number, since it uses more digits than its factorization.

40205025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 40205025280 its reverse (8252050204), we get a palindrome (48457075484).

The spelling of 40205025280 in words is "forty billion, two hundred five million, twenty-five thousand, two hundred eighty".