40540245200 has 480 divisors, whose sum is σ = 125025331200. Its totient is φ = 12291471360.

The previous prime is 40540245167. The next prime is 40540245203. The reversal of 40540245200 is 254204504.

It is a super-2 number, since 2×40540245200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40540245200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40540245203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92346581 + ... + 92347019.

It is an arithmetic number, because the mean of its divisors is an integer number (260469440).

Almost surely, 2^40540245200 is an apocalyptic number.

40540245200 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 40540245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512665600).

40540245200 is an abundant number, since it is smaller than the sum of its proper divisors (84485086000).

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

40540245200 is a wasteful number, since it uses less digits than its factorization.

40540245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 40540245200 its reverse (254204504), we get a palindrome (40794449704).

The spelling of 40540245200 in words is "forty billion, five hundred forty million, two hundred forty-five thousand, two hundred".